{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Copyright (c) 2015, 2016 [Sebastian Raschka](sebastianraschka.com)\n",
    "\n",
    "https://github.com/rasbt/python-machine-learning-book\n",
    "\n",
    "[MIT License](https://github.com/rasbt/python-machine-learning-book/blob/master/LICENSE.txt)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Python Machine Learning - Code Examples"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 10 - Predicting Continuous Target Variables with Regression Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that the optional watermark extension is a small IPython notebook plugin that I developed to make the code reproducible. You can just skip the following line(s)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sebastian Raschka \n",
      "last updated: 2016-09-29 \n",
      "\n",
      "CPython 3.5.2\n",
      "IPython 5.1.0\n",
      "\n",
      "numpy 1.11.1\n",
      "pandas 0.18.1\n",
      "matplotlib 1.5.1\n",
      "sklearn 0.18\n",
      "seaborn 0.7.0\n"
     ]
    }
   ],
   "source": [
    "%load_ext watermark\n",
    "%watermark -a 'Sebastian Raschka' -u -d -v -p numpy,pandas,matplotlib,sklearn,seaborn"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "*The use of `watermark` is optional. You can install this IPython extension via \"`pip install watermark`\". For more information, please see: https://github.com/rasbt/watermark.*"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Overview"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- [Introducing a simple linear regression model](#Introducing-a-simple-linear-regression-model)\n",
    "- [Exploring the Housing Dataset](#Exploring-the-Housing-Dataset)\n",
    "  - [Visualizing the important characteristics of a dataset](#Visualizing-the-important-characteristics-of-a-dataset)\n",
    "- [Implementing an ordinary least squares linear regression model](#Implementing-an-ordinary-least-squares-linear-regression-model)\n",
    "  - [Solving regression for regression parameters with gradient descent](#Solving-regression-for-regression-parameters-with-gradient-descent)\n",
    "  - [Estimating the coefficient of a regression model via scikit-learn](#Estimating-the-coefficient-of-a-regression-model-via-scikit-learn)\n",
    "- [Fitting a robust regression model using RANSAC](#Fitting-a-robust-regression-model-using-RANSAC)\n",
    "- [Evaluating the performance of linear regression models](#Evaluating-the-performance-of-linear-regression-models)\n",
    "- [Using regularized methods for regression](#Using-regularized-methods-for-regression)\n",
    "- [Turning a linear regression model into a curve - polynomial regression](#Turning-a-linear-regression-model-into-a-curve---polynomial-regression)\n",
    "  - [Modeling nonlinear relationships in the Housing Dataset](#Modeling-nonlinear-relationships-in-the-Housing-Dataset)\n",
    "  - [Dealing with nonlinear relationships using random forests](#Dealing-with-nonlinear-relationships-using-random-forests)\n",
    "    - [Decision tree regression](#Decision-tree-regression)\n",
    "    - [Random forest regression](#Random-forest-regression)\n",
    "- [Summary](#Summary)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from IPython.display import Image\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Added version check for recent scikit-learn 0.18 checks\n",
    "from distutils.version import LooseVersion as Version\n",
    "from sklearn import __version__ as sklearn_version"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introducing a simple linear regression model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAt4AAAJDCAYAAAA8bBPCAAABfGlDQ1BJQ0MgUHJvZmlsZQAAKJFj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\nQIAAAQIECBAgEAkMxaQz6ViIKncAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 4,
     "metadata": {
      "image/png": {
       "width": 500
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Image(filename='./images/10_01.png', width=500) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exploring the Housing dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Source: [https://archive.ics.uci.edu/ml/datasets/Housing](https://archive.ics.uci.edu/ml/datasets/Housing)\n",
    "\n",
    "Attributes:\n",
    "    \n",
    "<pre>\n",
    "1. CRIM      per capita crime rate by town\n",
    "2. ZN        proportion of residential land zoned for lots over \n",
    "                 25,000 sq.ft.\n",
    "3. INDUS     proportion of non-retail business acres per town\n",
    "4. CHAS      Charles River dummy variable (= 1 if tract bounds \n",
    "                 river; 0 otherwise)\n",
    "5. NOX       nitric oxides concentration (parts per 10 million)\n",
    "6. RM        average number of rooms per dwelling\n",
    "7. AGE       proportion of owner-occupied units built prior to 1940\n",
    "8. DIS       weighted distances to five Boston employment centres\n",
    "9. RAD       index of accessibility to radial highways\n",
    "10. TAX      full-value property-tax rate per $10,000\n",
    "11. PTRATIO  pupil-teacher ratio by town\n",
    "12. B        1000(Bk - 0.63)^2 where Bk is the proportion of blacks \n",
    "                 by town\n",
    "13. LSTAT    % lower status of the population\n",
    "14. MEDV     Median value of owner-occupied homes in $1000's\n",
    "</pre>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.00632</td>\n",
       "      <td>18.0</td>\n",
       "      <td>2.31</td>\n",
       "      <td>0</td>\n",
       "      <td>0.538</td>\n",
       "      <td>6.575</td>\n",
       "      <td>65.2</td>\n",
       "      <td>4.0900</td>\n",
       "      <td>1</td>\n",
       "      <td>296.0</td>\n",
       "      <td>15.3</td>\n",
       "      <td>396.90</td>\n",
       "      <td>4.98</td>\n",
       "      <td>24.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.02731</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>6.421</td>\n",
       "      <td>78.9</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242.0</td>\n",
       "      <td>17.8</td>\n",
       "      <td>396.90</td>\n",
       "      <td>9.14</td>\n",
       "      <td>21.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.02729</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>7.185</td>\n",
       "      <td>61.1</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242.0</td>\n",
       "      <td>17.8</td>\n",
       "      <td>392.83</td>\n",
       "      <td>4.03</td>\n",
       "      <td>34.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.03237</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>6.998</td>\n",
       "      <td>45.8</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222.0</td>\n",
       "      <td>18.7</td>\n",
       "      <td>394.63</td>\n",
       "      <td>2.94</td>\n",
       "      <td>33.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.06905</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>7.147</td>\n",
       "      <td>54.2</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222.0</td>\n",
       "      <td>18.7</td>\n",
       "      <td>396.90</td>\n",
       "      <td>5.33</td>\n",
       "      <td>36.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      CRIM    ZN  INDUS  CHAS    NOX     RM   AGE     DIS  RAD    TAX  \\\n",
       "0  0.00632  18.0   2.31     0  0.538  6.575  65.2  4.0900    1  296.0   \n",
       "1  0.02731   0.0   7.07     0  0.469  6.421  78.9  4.9671    2  242.0   \n",
       "2  0.02729   0.0   7.07     0  0.469  7.185  61.1  4.9671    2  242.0   \n",
       "3  0.03237   0.0   2.18     0  0.458  6.998  45.8  6.0622    3  222.0   \n",
       "4  0.06905   0.0   2.18     0  0.458  7.147  54.2  6.0622    3  222.0   \n",
       "\n",
       "   PTRATIO       B  LSTAT  MEDV  \n",
       "0     15.3  396.90   4.98  24.0  \n",
       "1     17.8  396.90   9.14  21.6  \n",
       "2     17.8  392.83   4.03  34.7  \n",
       "3     18.7  394.63   2.94  33.4  \n",
       "4     18.7  396.90   5.33  36.2  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "df = pd.read_csv('https://archive.ics.uci.edu/ml/machine-learning-databases/'\n",
    "                 'housing/housing.data',\n",
    "                 header=None,\n",
    "                 sep='\\s+')\n",
    "\n",
    "df.columns = ['CRIM', 'ZN', 'INDUS', 'CHAS', \n",
    "              'NOX', 'RM', 'AGE', 'DIS', 'RAD', \n",
    "              'TAX', 'PTRATIO', 'B', 'LSTAT', 'MEDV']\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<hr>\n",
    "\n",
    "### Note:\n",
    "\n",
    "\n",
    "If the link to the Housing dataset provided above does not work for you, you can find a local copy in this repository at [./../datasets/housing/housing.data](./../datasets/housing/housing.data).\n",
    "\n",
    "Or you could fetch it via"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>CRIM</th>\n",
       "      <th>ZN</th>\n",
       "      <th>INDUS</th>\n",
       "      <th>CHAS</th>\n",
       "      <th>NOX</th>\n",
       "      <th>RM</th>\n",
       "      <th>AGE</th>\n",
       "      <th>DIS</th>\n",
       "      <th>RAD</th>\n",
       "      <th>TAX</th>\n",
       "      <th>PTRATIO</th>\n",
       "      <th>B</th>\n",
       "      <th>LSTAT</th>\n",
       "      <th>MEDV</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.00632</td>\n",
       "      <td>18.0</td>\n",
       "      <td>2.31</td>\n",
       "      <td>0</td>\n",
       "      <td>0.538</td>\n",
       "      <td>6.575</td>\n",
       "      <td>65.2</td>\n",
       "      <td>4.0900</td>\n",
       "      <td>1</td>\n",
       "      <td>296.0</td>\n",
       "      <td>15.3</td>\n",
       "      <td>396.90</td>\n",
       "      <td>4.98</td>\n",
       "      <td>24.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.02731</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>6.421</td>\n",
       "      <td>78.9</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242.0</td>\n",
       "      <td>17.8</td>\n",
       "      <td>396.90</td>\n",
       "      <td>9.14</td>\n",
       "      <td>21.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.02729</td>\n",
       "      <td>0.0</td>\n",
       "      <td>7.07</td>\n",
       "      <td>0</td>\n",
       "      <td>0.469</td>\n",
       "      <td>7.185</td>\n",
       "      <td>61.1</td>\n",
       "      <td>4.9671</td>\n",
       "      <td>2</td>\n",
       "      <td>242.0</td>\n",
       "      <td>17.8</td>\n",
       "      <td>392.83</td>\n",
       "      <td>4.03</td>\n",
       "      <td>34.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.03237</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>6.998</td>\n",
       "      <td>45.8</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222.0</td>\n",
       "      <td>18.7</td>\n",
       "      <td>394.63</td>\n",
       "      <td>2.94</td>\n",
       "      <td>33.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.06905</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2.18</td>\n",
       "      <td>0</td>\n",
       "      <td>0.458</td>\n",
       "      <td>7.147</td>\n",
       "      <td>54.2</td>\n",
       "      <td>6.0622</td>\n",
       "      <td>3</td>\n",
       "      <td>222.0</td>\n",
       "      <td>18.7</td>\n",
       "      <td>396.90</td>\n",
       "      <td>5.33</td>\n",
       "      <td>36.2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      CRIM    ZN  INDUS  CHAS    NOX     RM   AGE     DIS  RAD    TAX  \\\n",
       "0  0.00632  18.0   2.31     0  0.538  6.575  65.2  4.0900    1  296.0   \n",
       "1  0.02731   0.0   7.07     0  0.469  6.421  78.9  4.9671    2  242.0   \n",
       "2  0.02729   0.0   7.07     0  0.469  7.185  61.1  4.9671    2  242.0   \n",
       "3  0.03237   0.0   2.18     0  0.458  6.998  45.8  6.0622    3  222.0   \n",
       "4  0.06905   0.0   2.18     0  0.458  7.147  54.2  6.0622    3  222.0   \n",
       "\n",
       "   PTRATIO       B  LSTAT  MEDV  \n",
       "0     15.3  396.90   4.98  24.0  \n",
       "1     17.8  396.90   9.14  21.6  \n",
       "2     17.8  392.83   4.03  34.7  \n",
       "3     18.7  394.63   2.94  33.4  \n",
       "4     18.7  396.90   5.33  36.2  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('https://raw.githubusercontent.com/rasbt/python-machine-learning-book/master/code/datasets/housing/housing.data',\n",
    "                  header=None, sep='\\s+')\n",
    "\n",
    "df.columns = ['CRIM', 'ZN', 'INDUS', 'CHAS', \n",
    "              'NOX', 'RM', 'AGE', 'DIS', 'RAD', \n",
    "              'TAX', 'PTRATIO', 'B', 'LSTAT', 'MEDV']\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualizing the important characteristics of a dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA3kAAAN5CAYAAAC18PLVAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBhBk5BEEQRAEQRAEQQwg/j+cO4pz7d/IwgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1150abf98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "\n",
    "sns.set(style='whitegrid', context='notebook')\n",
    "cols = ['LSTAT', 'INDUS', 'NOX', 'RM', 'MEDV']\n",
    "\n",
    "sns.pairplot(df[cols], size=2.5)\n",
    "plt.tight_layout()\n",
    "# plt.savefig('./figures/scatter.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAaAAAAFWCAYAAAAv/UldAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCCGsQgKQEEIIq5AAJIQQwir+PzQcXS7sWVGjAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1187488d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "\n",
    "cm = np.corrcoef(df[cols].values.T)\n",
    "sns.set(font_scale=1.5)\n",
    "hm = sns.heatmap(cm,\n",
    "                 cbar=True,\n",
    "                 annot=True,\n",
    "                 square=True,\n",
    "                 fmt='.2f',\n",
    "                 annot_kws={'size': 15},\n",
    "                 yticklabels=cols,\n",
    "                 xticklabels=cols)\n",
    "\n",
    "# plt.tight_layout()\n",
    "# plt.savefig('./figures/corr_mat.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "sns.reset_orig()\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Implementing an ordinary least squares linear regression model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## Solving regression for regression parameters with gradient descent"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class LinearRegressionGD(object):\n",
    "\n",
    "    def __init__(self, eta=0.001, n_iter=20):\n",
    "        self.eta = eta\n",
    "        self.n_iter = n_iter\n",
    "\n",
    "    def fit(self, X, y):\n",
    "        self.w_ = np.zeros(1 + X.shape[1])\n",
    "        self.cost_ = []\n",
    "\n",
    "        for i in range(self.n_iter):\n",
    "            output = self.net_input(X)\n",
    "            errors = (y - output)\n",
    "            self.w_[1:] += self.eta * X.T.dot(errors)\n",
    "            self.w_[0] += self.eta * errors.sum()\n",
    "            cost = (errors**2).sum() / 2.0\n",
    "            self.cost_.append(cost)\n",
    "        return self\n",
    "\n",
    "    def net_input(self, X):\n",
    "        return np.dot(X, self.w_[1:]) + self.w_[0]\n",
    "\n",
    "    def predict(self, X):\n",
    "        return self.net_input(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "X = df[['RM']].values\n",
    "y = df['MEDV'].values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "\n",
    "sc_x = StandardScaler()\n",
    "sc_y = StandardScaler()\n",
    "X_std = sc_x.fit_transform(X)\n",
    "y_std = sc_y.fit_transform(y[:, np.newaxis]).flatten()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<__main__.LinearRegressionGD at 0x118f523c8>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lr = LinearRegressionGD()\n",
    "lr.fit(X_std, y_std)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAEYCAYAAAAJeGK1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1186ad400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(range(1, lr.n_iter+1), lr.cost_)\n",
    "plt.ylabel('SSE')\n",
    "plt.xlabel('Epoch')\n",
    "plt.tight_layout()\n",
    "# plt.savefig('./figures/cost.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def lin_regplot(X, y, model):\n",
    "    plt.scatter(X, y, c='lightblue')\n",
    "    plt.plot(X, model.predict(X), color='red', linewidth=2)    \n",
    "    return "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAEYCAYAAAAJeGK1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11866f6d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lin_regplot(X_std, y_std, lr)\n",
    "plt.xlabel('Average number of rooms [RM] (standardized)')\n",
    "plt.ylabel('Price in $1000\\'s [MEDV] (standardized)')\n",
    "plt.tight_layout()\n",
    "# plt.savefig('./figures/gradient_fit.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Slope: 0.695\n",
      "Intercept: -0.000\n"
     ]
    }
   ],
   "source": [
    "print('Slope: %.3f' % lr.w_[1])\n",
    "print('Intercept: %.3f' % lr.w_[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Price in $1000's: 10.840\n"
     ]
    }
   ],
   "source": [
    "num_rooms_std = sc_x.transform(np.array([[5.0]]))\n",
    "price_std = lr.predict(num_rooms_std)\n",
    "print(\"Price in $1000's: %.3f\" % sc_y.inverse_transform(price_std))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Estimating the coefficient of a regression model via scikit-learn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LinearRegression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Slope: 9.102\n",
      "Intercept: -34.671\n"
     ]
    }
   ],
   "source": [
    "slr = LinearRegression()\n",
    "slr.fit(X, y)\n",
    "y_pred = slr.predict(X)\n",
    "print('Slope: %.3f' % slr.coef_[0])\n",
    "print('Intercept: %.3f' % slr.intercept_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAEYCAYAAAAJeGK1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAcIktCyTmTf9AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117dfb6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lin_regplot(X, y, slr)\n",
    "plt.xlabel('Average number of rooms [RM]')\n",
    "plt.ylabel('Price in $1000\\'s [MEDV]')\n",
    "plt.tight_layout()\n",
    "# plt.savefig('./figures/scikit_lr_fit.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Normal Equations** alternative:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Slope: 9.102\n",
      "Intercept: -34.671\n"
     ]
    }
   ],
   "source": [
    "# adding a column vector of \"ones\"\n",
    "Xb = np.hstack((np.ones((X.shape[0], 1)), X))\n",
    "w = np.zeros(X.shape[1])\n",
    "z = np.linalg.inv(np.dot(Xb.T, Xb))\n",
    "w = np.dot(z, np.dot(Xb.T, y))\n",
    "\n",
    "print('Slope: %.3f' % w[1])\n",
    "print('Intercept: %.3f' % w[0])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Fitting a robust regression model using RANSAC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAEYCAYAAAAJeGK1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118b53518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.linear_model import RANSACRegressor\n",
    "\n",
    "if Version(sklearn_version) < '0.18':\n",
    "    ransac = RANSACRegressor(LinearRegression(), \n",
    "                             max_trials=100, \n",
    "                             min_samples=50, \n",
    "                             residual_metric=lambda x: np.sum(np.abs(x), axis=1), \n",
    "                             residual_threshold=5.0, \n",
    "                             random_state=0)\n",
    "else:\n",
    "    ransac = RANSACRegressor(LinearRegression(), \n",
    "                             max_trials=100, \n",
    "                             min_samples=50, \n",
    "                             loss='absolute_loss', \n",
    "                             residual_threshold=5.0, \n",
    "                             random_state=0)\n",
    "\n",
    "\n",
    "ransac.fit(X, y)\n",
    "inlier_mask = ransac.inlier_mask_\n",
    "outlier_mask = np.logical_not(inlier_mask)\n",
    "\n",
    "line_X = np.arange(3, 10, 1)\n",
    "line_y_ransac = ransac.predict(line_X[:, np.newaxis])\n",
    "plt.scatter(X[inlier_mask], y[inlier_mask],\n",
    "            c='blue', marker='o', label='Inliers')\n",
    "plt.scatter(X[outlier_mask], y[outlier_mask],\n",
    "            c='lightgreen', marker='s', label='Outliers')\n",
    "plt.plot(line_X, line_y_ransac, color='red')   \n",
    "plt.xlabel('Average number of rooms [RM]')\n",
    "plt.ylabel('Price in $1000\\'s [MEDV]')\n",
    "plt.legend(loc='upper left')\n",
    "\n",
    "plt.tight_layout()\n",
    "# plt.savefig('./figures/ransac_fit.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Slope: 9.621\n",
      "Intercept: -37.137\n"
     ]
    }
   ],
   "source": [
    "print('Slope: %.3f' % ransac.estimator_.coef_[0])\n",
    "print('Intercept: %.3f' % ransac.estimator_.intercept_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Evaluating the performance of linear regression models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "if Version(sklearn_version) < '0.18':\n",
    "    from sklearn.cross_validation import train_test_split\n",
    "else:\n",
    "    from sklearn.model_selection import train_test_split\n",
    "\n",
    "X = df.iloc[:, :-1].values\n",
    "y = df['MEDV'].values\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(\n",
    "    X, y, test_size=0.3, random_state=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "slr = LinearRegression()\n",
    "\n",
    "slr.fit(X_train, y_train)\n",
    "y_train_pred = slr.predict(X_train)\n",
    "y_test_pred = slr.predict(X_test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAEYCAYAAAAJeGK1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nLQoAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118d25f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(y_train_pred,  y_train_pred - y_train,\n",
    "            c='blue', marker='o', label='Training data')\n",
    "plt.scatter(y_test_pred,  y_test_pred - y_test,\n",
    "            c='lightgreen', marker='s', label='Test data')\n",
    "plt.xlabel('Predicted values')\n",
    "plt.ylabel('Residuals')\n",
    "plt.legend(loc='upper left')\n",
    "plt.hlines(y=0, xmin=-10, xmax=50, lw=2, color='red')\n",
    "plt.xlim([-10, 50])\n",
    "plt.tight_layout()\n",
    "\n",
    "# plt.savefig('./figures/slr_residuals.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MSE train: 19.958, test: 27.196\n",
      "R^2 train: 0.765, test: 0.673\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import r2_score\n",
    "from sklearn.metrics import mean_squared_error\n",
    "\n",
    "print('MSE train: %.3f, test: %.3f' % (\n",
    "        mean_squared_error(y_train, y_train_pred),\n",
    "        mean_squared_error(y_test, y_test_pred)))\n",
    "print('R^2 train: %.3f, test: %.3f' % (\n",
    "        r2_score(y_train, y_train_pred),\n",
    "        r2_score(y_test, y_test_pred)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Using regularized methods for regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-0.11311792  0.04725111 -0.03992527  0.96478874 -0.          3.72289616\n",
      " -0.02143106 -1.23370405  0.20469    -0.0129439  -0.85269025  0.00795847\n",
      " -0.52392362]\n"
     ]
    }
   ],
   "source": [
    "from sklearn.linear_model import Lasso\n",
    "\n",
    "lasso = Lasso(alpha=0.1)\n",
    "lasso.fit(X_train, y_train)\n",
    "y_train_pred = lasso.predict(X_train)\n",
    "y_test_pred = lasso.predict(X_test)\n",
    "print(lasso.coef_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MSE train: 20.926, test: 28.876\n",
      "R^2 train: 0.753, test: 0.653\n"
     ]
    }
   ],
   "source": [
    "print('MSE train: %.3f, test: %.3f' % (\n",
    "        mean_squared_error(y_train, y_train_pred),\n",
    "        mean_squared_error(y_test, y_test_pred)))\n",
    "print('R^2 train: %.3f, test: %.3f' % (\n",
    "        r2_score(y_train, y_train_pred),\n",
    "        r2_score(y_test, y_test_pred)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Turning a linear regression model into a curve - polynomial regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "X = np.array([258.0, 270.0, 294.0, \n",
    "              320.0, 342.0, 368.0, \n",
    "              396.0, 446.0, 480.0, 586.0])[:, np.newaxis]\n",
    "\n",
    "y = np.array([236.4, 234.4, 252.8, \n",
    "              298.6, 314.2, 342.2, \n",
    "              360.8, 368.0, 391.2,\n",
    "              390.8])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "\n",
    "lr = LinearRegression()\n",
    "pr = LinearRegression()\n",
    "quadratic = PolynomialFeatures(degree=2)\n",
    "X_quad = quadratic.fit_transform(X)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAEYCAYAAAAJeGK1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIYQQhvT/txZENzrOFkwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117d479b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# fit linear features\n",
    "lr.fit(X, y)\n",
    "X_fit = np.arange(250, 600, 10)[:, np.newaxis]\n",
    "y_lin_fit = lr.predict(X_fit)\n",
    "\n",
    "# fit quadratic features\n",
    "pr.fit(X_quad, y)\n",
    "y_quad_fit = pr.predict(quadratic.fit_transform(X_fit))\n",
    "\n",
    "# plot results\n",
    "plt.scatter(X, y, label='training points')\n",
    "plt.plot(X_fit, y_lin_fit, label='linear fit', linestyle='--')\n",
    "plt.plot(X_fit, y_quad_fit, label='quadratic fit')\n",
    "plt.legend(loc='upper left')\n",
    "\n",
    "plt.tight_layout()\n",
    "# plt.savefig('./figures/poly_example.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "y_lin_pred = lr.predict(X)\n",
    "y_quad_pred = pr.predict(X_quad)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training MSE linear: 569.780, quadratic: 61.330\n",
      "Training R^2 linear: 0.832, quadratic: 0.982\n"
     ]
    }
   ],
   "source": [
    "print('Training MSE linear: %.3f, quadratic: %.3f' % (\n",
    "        mean_squared_error(y, y_lin_pred),\n",
    "        mean_squared_error(y, y_quad_pred)))\n",
    "print('Training R^2 linear: %.3f, quadratic: %.3f' % (\n",
    "        r2_score(y, y_lin_pred),\n",
    "        r2_score(y, y_quad_pred)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Modeling nonlinear relationships in the Housing Dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAEYCAYAAAAJeGK1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsnXl4k1XWwH83dA1dKZSW0pbSakEUFFQWQcDBUTuCIuqA\nC4sLzLihKMiOIC4gg46M4zgMi6CIIrKpCCggy6ciomyylQKlOy10b2mT3O+PkNekTdKke+H+nqcP\ned+7naT0PTnnnnuOkFKiUCgUCkVjQ9fQAigUCoVCYQ+loBQKhULRKFEKSqFQKBSNEqWgFAqFQtEo\nUQpKoVAoFI0SpaAUCoVC0ShpEAUlhJgohPg/IcTPQohRQohYIcROIcT3Qoj3GkImhUKhUDQu6l1B\nCSH6Aj2llL2AfkAUMB+YLKXsC+iEEPfUt1wKhUKhaFw0hAV1B3BICLEWWA98CXSVUu681L4RGNAA\ncikUCoWiEeHRAGu2xGw13Q20x6ykrBVlARDYAHIpFAqFohHREAoqBzgipTQAx4UQpUBbq3Z/INfe\nQCGEysukUCgUTRgppXC1b0O4+HYBdwIIIdoAzYHvLu1NAdwF7HQwFillo/6ZMWNGg8ugZFQyKhmV\njI3xx13q3YKSUn4lhOgjhNgDCODvwGngf0IIT+AI8Hl9y6VQKBSKxkVDuPiQUk60c7tffcuhUCgU\nisaLOqhby/Tr16+hRagSJWPtoGSsHZSMtUNTkNFdRHX8gg2FEEI2JXkVCoVC8QdCCKQbQRIN4uJT\nKJoy7dq148yZMw0thkLRaImOjub06dM1nkdZUAqFm1z6FtjQYigUjRZHfyPuWlBqD0qhUCgUjRKl\noBQKhULRKFEKSqFQKBSNEqWgFAqFQtEoUQpKoVAoFI0SpaAUisuQmJgYtm7dCsC1117Ljh07Glgi\nM5MnT+bdd9912D5q1CimT59eq2t2796dI0eO1OqcAImJiaxZs4ZZs2axb9++Wp/fGTt27KC0tJSL\nFy+yc6fD1KVNHqWgFIrLnEOHDnHrrbc2tBhkZ2ezfPlyxowZU+tzv/fee9x00034+Pjw2GOP2bSN\nHz+eadOm1fqaGzZsICIighdeeIF58+bVaK5169bx+uuvM2fOHJYvX15l/xEjRqDX64mOjub8+fOV\n2n/99VfefPPNGsnUGFAHdRUKRa1jNBpp1qyZzb2lS5eSkJCAt7d3ra8XERHBtGnT2LRpEyUlJTZt\nAwcOZMyYMWRlZREaGurynPv27WPmzJnk5eUxfPhwSktL2b9/Pw899BB9+/blhRdeAODIkSPExMRU\nW/b8/HxmzZrFL7/8AkDPnj1JSEggJCTE4ZgpU6Zw5513Eh4eXulzllIybdo0br755mrL1FhQFpRC\ncZlj7e6LiYnhH//4B126dCE4OJhhw4ZRVlam9U1PT+f+++8nNDSU2NhYFixYoLXNmTOHuLg4AgIC\nuPbaa1m7dm2ldebOnUuXLl3w8/PDZDLZtG/cuJG+ffva3Pv111/p1q0bgYGBDB06lNLS0mq9x3vv\nvZdBgwbRokWLSm3e3t5069aNTZs2uTVn165d8fPzY9y4cTz22GM89dRTJCQkMHbsWJt+a9euZcqU\nKdWSG8zuuk6dOmnXXbp0Ydu2bU7HeHp60rZt20rKCWD16tX079+/2vI0JpQFpVBcYaxatYrNmzfj\n7e1Nr169WLp0KaNHj0ZKycCBAxk8eDCffvopZ8+eZcCAAXTo0IHbb7+duLg4du/eTevWrVm1ahWP\nPPIIJ0+epHXr1trcK1euZOPGjYSEhKDT2X7/PXjwIPHx8dp1eXk5gwcPZty4cTz99NOsXbuWYcOG\nMXHiH8UOBg4cyK5du7TMBNb/9u7dm/Xr17v0njt27Mj+/ft59NFH3fqsfvjhBxYuXKjJu3z5csaN\nG6e1b9iwgWeeeYbU1FSuuuoq7X5SUhILFy60yahgLXuPHj0YNGgQACkpKQQFBWljg4KCOHHihFO5\n9uzZg5SSnJwcrrrqKm2unJwcdDodLVu2pKioyK332hhRCkqhqAOEAOtML+5e1yVjx47VlMrAgQP5\n7bffAPNDLzs7W7MG2rVrxxNPPMHKlSu5/fbbGTJkiDbHAw88wOuvv86ePXsYOHCgzdxt2rSxu25u\nbi7+/v7a9Y8//ojBYOC5554DYMiQIdx00002YzZs2FAL7xj8/f3JyMhwa8zRo0cJCgpi165dJCUl\n8fPPPzN//nyioqIAWLNmDW+88QYLFiygb9++NlZU+/bteeONN1xa58KFC/j4+GjXXl5eFBYWOh3z\nxBNPcMMNNwBw/fXX07dvXwIDA/niiy948skn+fDDD916r40VpaAUiisMa4tHr9eTnp4OQHJyMqmp\nqZqbTEqJyWTSAiyWLVvG22+/rSUBLSoqIjs722butm3bOlw3ODiYgoIC7TotLY2IiAibPtHR0dV/\nY04oKCiwsVJcYevWrQwaNIg///nPAKxfv56MjAxNQQ0ePJjBgwfXWDZ/f3+bQIeSkhLCwsKcjunS\npYv2Ojg4mO3btxMeHk737t1rLE9jQikohaIOqGgNuXvdEERGRtK+fXuOHTtWqS05OZnRo0ezbds2\nevbsCcANN9xQKSGoEI7zgHbu3Jnjx4/TrVs3AMLDw0lNTa20TlxcnHadkJDAzp077c7bp08fvvrq\nK5fe25EjR9x2723bto0nnnhCuz5//jxJSUkuBR9Yu/issefii42NZe/evVqfnJwcunbt6nDujz/+\nmK+//pqPP/4YgMLCQpo1a8aePXsoLi5m48aN7N69m9LSUtavX6+t0xRRCkqhUABw88034+/vz9y5\nc3nuuefw9PTk6NGjlJSU0Lx5c21vw2Qy8eGHH3Lo0CG35k9ISGD79u0MGzYMMEereXh4sGDBAv7+\n97+zfv169uzZw2233aaN+frrr12a22g0Ul5ejtFoxGAwcPHiRTw8PGjWrBkXL17kl19+YdmyZVr/\nUaNGIYRg8eLFdueTUrJjxw7+97//afcOHjxISEgI6enphIeHO5XHHRdf3759efnll7Xrffv2aSHi\nSUlJxMTE2Ci6du3aaaH6Fiv2tttuQ6/Xa31mzpyJEKJJKydQUXwKxWWJ9QPN0euK6HQ6vvzyS377\n7TdiYmIIDQ3lySefJD8/n44dO/Liiy/So0cPwsLCOHz4ML1793a4pj2GDx/Oxo0buXjxImCORPvi\niy9YsmQJISEhrFq1ymafyx1mz56NXq9nzpw5fPzxx+j1el577TXA7Jrr37+/jdvs7NmzleS3cODA\nAaZMmUJJSQmrV6/W7j/++OP8+OOPbNmypVoyOkKv1zNhwgRmz57Nq6++yvjx47Vw+Pvvv1/bI7Rw\nyy23cPbsWd555x2mTJnCypUrbZTTqlWrWLduHevWrePzzz+vVVnrG1UPSqFwE1UPqvpMnTqV0NBQ\nLTCiPujZsyeLFi3immuuAczReNdffz0HDhywG6atqDm1VQ9KKSiFwk2UglIonKMKFioUCoXiskYp\nKIVCoVA0SpSCUigUCkWjRCkohUKhUDRKlIJSKBQKRaOkQQ7qCiF+AfIuXZ4CXgeWAibgkJTy6YaQ\nq6EwGAyUlZWh0+kwmUx4eXnh4eFRqU9hYSEGgwFfX1/Ky8sxGAz4+fkBUFxcjF6vt8np5Whey317\n61RXdlfnste/NuVRKBSXD/X+NBBCeANIKW+zurcOmCyl3CmEeF8IcY+Ucl19y9YQ5ObmkpqaapPx\nGMz1bSy5w3Jzc0lJSXFpvuDgYCIiIhzOGxQURG5urhYGar1OdWV3dS57/QG35lAoFFcODeHi6wI0\nF0JsEkJ8K4ToDnSVUlrqFm8EBjSAXPWOwWCwUSJgTrEipSQ1NRWDwYDBYHBZOYE5M3JRUZHDeS9c\nuKAlAbVepyayuzKXo/4pKSm1Io9Cobj8aAh/SjHwlpRykRDiKswKyfrgVgEQ6GjwK6+8or3u168f\n/fr1qxsp64GysjKnB9qsC8m5Q0FBgcuHSS3ruOtasye7s7kcvVd35lAoFE2L7du3s3379mqPb4in\nwHEgEUBKeUIIkQNYp+71B3IdDbZWUE0dLy8vh0pESomXl1e15vX39ycnJ8elvtVdx57szuZy9F7d\nmUOhUDQtKhoRM2fOdGt8Q7j4HgP+ASCEaAMEAJuFEJZa0HcBOx2Mvazw8PAgIiKiUjJPIQQRERF4\neHjg4eHhtMZORYKDg2nevLnDeYODgxFCoNPpbNYBsxuuuLjYJRebtez25nK1f9u2bV2eQ9H4GDVq\nFNOnT6/VOa+99lp27Njh9rjJkyfz7rvvOmyvC1m7d+/OkSNHanVOgMTERNasWcOsWbPYt29frc/f\nVGiIJ8EiYIkQYifmqL2RQA7wPyGEJ3AEaNopeN0gKCgIPz8/p1F8lj7OovgKCwsRQuDl5YXBYHA6\nb+vWrStFzbkb8FBRdlci8Bz1d2cOxeVFTEwMixYtsimx4W4ZD4Ds7GyWL19OYmJibYpHWVkZTz31\nFN9++y0XLlwgNjaW119/nTvvvBOA8ePHM23atFrPGr5hwwZuueUWBgwYwJgxY1ixYkWN5lu3bh2H\nDx+mWbNmtGnTxmltrKKiIubMmUNUVBR5eXm8+OKLNu2//vormzZtYuLEiTWSyRXq/WkgpSwHHrHT\n1K+eRWk0WCylqvo4Uhi5ubk25awtlkhQUJDdeSuuZx3AYHG5paam4ufn55Jc7igVe/3dnUPRNDAa\njfWWLXzp0qUkJCTg7e1dq/MaDAaioqLYuXMnkZGRfPXVVzz44IMcOnSIqKgoBg4cyJgxY8jKytJK\nZLjCvn37mDlzJnl5eQwfPpzS0lL279/PQw89RN++fXnhhRcAc6HFmJiYGr2H/Px8Zs2axS+//AKY\ns7snJCQQEhJit/9zzz3HjBkziIqK4tprr+X+++/XKh1LKZk2bZpLRRtrA3VQt4ljL8rP3Wg4SwCD\nNTUJ0lA0PL/++ivdunUjMDCQoUOHMmzYMM29pdPpSEpK0vpWdH3NmTOHuLg4AgICuPbaa1m7dq3D\neUtLS23WjYmJYe7cuXTp0gU/Pz9MJpPD+YYPH05ycjIDBw4kICCAefPmaXNs3boVgJSUFIYMGUJo\naCitWrVyWKZj48aN9O3b1+ZeVbK6gl6vZ/r06URGRgLwl7/8hZiYGO1h7+3tTbdu3di0aZNb83bt\n2hU/Pz/GjRvHY489xlNPPUVCQgJjx4616bd27VqmTJnittzW7Nixg06dOmnXXbp0Ydu2bXb7njp1\nirS0NK2s/ebNmzXlBLB69Wr69+9fI3ncQSmoJo495WLd5gruBjwoGjfl5eUMHjyYESNGcP78eR54\n4AGbwntVERcXx+7du8nPz2fGjBk88sgjZGZmujzvypUr2bhxI7m5ueh0OofzLVu2jKioKL788kvy\n8/N56aWXbOYxmUzcfffdxMTEkJycTGpqKkOHDrUr88GDB4mPj3frMxg4cCDBwcG0aNGi0r+OKtFm\nZmZy4sQJmwd+x44d2b9/v8ufr4UffviBAQMGaPIuX76ccePGae0bNmzgmWeeITU11WZcUlISkyZN\nYvLkyUyaNMnm9eTJk1m/fr1N/5SUFBvvS1BQECdOnLAr09atWwkMDOSjjz5iwYIFbN68WWvLycnR\nqirXF8qv0sRxFgnoqoKxBDBU3INSbrdqUkVlWZepZs2pH3/8EYPBoFkbQ4YM4aabbnJ5vHVV2wce\neIDXX3+dPXv2EBQU5NK8Y8eOpU2bNlXON3DgQKByJKeFPXv2kJ6ezty5c9HpzN+le/XqZbdvbm4u\n/v7+2rUrn8GGDRscfwh2MBgMPPLII4wcOZKrr75au+/v72/jYneFo0ePEhQUxK5du0hKSuLnn39m\n/vz5muWyZs0a3njjDRYsWEDfvn1trCh3ysmD+WykdYYZLy8vCgsL7fbNzMzk8OHDrFy5EoA+ffrQ\nu3dv4uLi+OKLL3jyySf58MMP3XqvNUE9gZo4lig/azdfdaLh3A14UDRe0tLStCwdFqzdNFWxbNky\n3n77bU6fPg2YN82zs7MpLi52ad6KUaeO5quKs2fPEh0drSknZwQHB1NQUKBd1/QzqIiUkkceeQRv\nb28WLFhg01ZQUOB29pOtW7cyaNAg/vznPwPmsvQZGRmagho8eDCDBw+utrzW+Pv7c/78ee26pKSE\nsLAwh32vu+467ToqKorNmzdz/vx5unfvXivyuIN6Cl0GVIzy8/Pzs/nG5CoqWKGWaOBqu+Hh4ZXc\nQsnJycTFxQHmfZXi4mKtLSMjQ9tjSU5OZvTo0Wzbto2ePXsCcMMNNyClJDw8vNJ+p/W8Fqxdzs7m\nq9i3IpGRkSQnJ2MymapUUp07d+b48eN069bNpc8AICEhgZ07d9qVoU+fPnz11Vfa9eOPP052djZf\nf/11pcCPI0eOOI2Ks8e2bdt44okntOvz58+TlJTkUvBBUlISCxcurCS3lBIhBD169LBxUcbGxrJ3\n717tOicnh65du2KPTp06sWvXLu1ap9NhNBrZs2cPxcXFbNy4kd27d1NaWsr69esdukJrDUvkVlP4\nMYursMeFCxfkoUOH5OHDh+WhQ4fkhQsXGlqky5bG/v+wrKxMRkdHy3fffVeWl5fL1atXS09PTzlt\n2jQppZS33HKLnDRpkjQajXLjxo3S19dXa/v999+lr6+vPH78uDQajXLx4sXSw8NDLlq0qMp5pZSy\nXbt28rvvvtOunc0npZQ9evSQCxcutJHfMofRaJTXX3+9HD9+vCwqKpKlpaVy9+7ddt/z/Pnz5ejR\no13+DNxhzJgxsmfPnrKoqKhSW2lpqWzRooVMT0/X7o0cOVKOGjXK4Xwmk0mGhobK3Nxc7Z5er5eb\nN2+WaWlpbstXFUVFRfK6667Trrt06SIzMzOllFKePHlSmkwmra20tFT26NFDu+7Vq5dMTEy0me+V\nV16RM2fOdLqmo7+RS/ddfuarIIkmhKODtO7mxVNc3nh6evLFF1+wZMkSQkJCWLVqlc0+0D//+U/W\nr19PcHAwn3zyiY0rqWPHjrz44ov06NGDsLAwDh8+TO/evV2aFypbRM7mA5g0aRKvvvoqLVq0YP78\n+TZz6HQ6NmzYwIkTJ4iKiiIyMpLPPvvM7nsePnw4Gzdu5OLFiy7L6grJycn897//5bfffqN169b4\n+/sTEBDAJ598Aphdc/3797dxmZ09e9bmPVpz4MABpkyZQklJiU3QxuOPP86PP/7Ili1b3JaxKvR6\nPRMmTGD27Nm8+uqrjB8/XguJv//++/ntt9+0vt7e3rzyyitMnz6dadOm8dRTTxEbG6u1r1q1inXr\n1rFu3bpaP/tlDyEb2B3hDkII2ZTkrU2cHaQtLi7m9OnTmEwmrb9Op6Ndu3bo9fqGEvmyxdU8h42J\nUaNGERkZyaxZsxpalDpj6tSphIaGOgxFrwt69uzJokWLuOaaawBzNN7111/PgQMH6u0MWGPEWY5R\nKaXLUURqw6EJUNVBWi8vLxvlBCpMXHHlMXv27Hpf84cffrC59vT05PDhw/Uux+WKcvE1Aao6SGtJ\nc2SNChNXWOMsGEGhaKyoJ1gTwNlBWns1pYQQNGvWDIPBoJSUAoDFixc3tAgKhdsoC6oJ4CxzuD3r\nSkpJcnIyx44dIzfXYeUShUKhaNSor9dNBEcHaauqs+Rq0leFQqFobCgLqglhCYgoKyuzCSFv2bKl\nVu+pIirpq0KhaKqor9VNCEuoOZgtpMDAQPLz87WQzpCQkEqVdFU0n0KhaKooC6qJYC/UPC8vTzuc\nC+Z0KeHh4apCrUKhuCxQT64mgituOiEEvr6+xMfH13nSV4PBoBLLKhSKOkU9WZoIzspqWLC48+o6\n6Wt1ysMrFAqFuygXXxPBw8OD8PBwp30clXivTVTeP4VCUV8oBdWEqCq3V25ubp0rClUeXqFQ1BdK\nQTUCpJSsPLSSkvISm/vW2cstlosz6kNRqPLwCoWivlAKqhEwZesUhq0exnMb/8jCnJuby7Fjxzh9\n+jTHjh0jJyenynxq9aEonGW1UDR9YmJi2Lp1q922a6+9lh07dlRr3smTJ/Puu+86bB81ahTTp0+v\n1tyO6N69O0eOHKnVOQESExNZs2YNs2bNYt++fbU+v+IP1FOlEfDXTn/l7R/f5n+//o9bo29lWKdh\nlULKs7OzHaavtw5WqKgo6iLaTpWHvzI5dOhQtcZlZ2ezfPlyEhMTa1WeRx99lG+//VYrYT5+/Hge\nf/xxrX38+PFMmzat1usWbdiwgVtuuYUBAwYwZswYVqxYUe251q1bx+HDh2nWrBlt2rSpsjJvUVER\nc+bMISoqiry8PF588UWn95s66snSCOgS1oUFdy3gyQ1P8rev/sY1wdfgK3wrJYBt1aoV586ds1FI\nzhRFXUbbqfLwCldZunQpCQkJeHt71+q8kyZNYuHChfj4+HD8+HH69u1L165dueGGGwAYOHAgY8aM\nISsrSyvQVxX79u1j5syZ5OXlMXz4cEpLS9m/fz8PPfQQffv2BeCFF14AzKXeY2Jiqi1/fn4+s2bN\n4pdffgHMtaUSEhIICQlxOOa5555jxowZREVFce2113L//fcTHR3t8H5TR7n4GgmP3/A4j3R+hOLy\nYoZvGE5ReZFNu5SSFi1aEB8fT7t27YiPj9ei9vR6vV3LSUXbXbmkpKQwZMgQQkNDadWqlVbET6fT\nkZSUpPWz51rbs2cPnTp1IiQkhMcee0zb16zo/nO0RkU2btyoPdwt/Prrr3Tr1o3AwECGDh1KaWmp\n2+/xmmuuwcfHBzD/fQghOHnypNbu7e1Nt27d2LRpk8tzdu3aFT8/P8aNG8djjz3GU089RUJCAmPH\njq3Ud+3atUyZMsVtuS3s2LGDTp06adddunRh27ZtDvufOnWKtLQ0oqKiANi8eTPR0dEO718ONNhX\nYCFEKLAXGAAYgaWACTgkpXy6oeRqKIQQvP+X9/kl7Rd0Oh0+wT6IAvvuO1csF0u0XUUrrKysTFk+\nlzkmk4m7776bAQMG8PHHH6PT6di7dy/gWl2oFStWsGXLFvR6PXfffTezZ8+uVInX2RoVOXjwIPHx\n8dp1eXk5gwcPZty4cTz99NOsXbuWYcOGMXHiRMBs+ezatUv7/2v9b+/evVm/fr0219NPP83SpUsp\nKSmha9euJCQk2KzdsWNH9u/fX6XrzJoffviBhQsXarIuX76ccePG2fTZsGEDzzzzDKmpqVx11VXa\n/aSkJBYuXGjzt2ctf48ePRg0aBBgVvDWHo2goCBOnDjhUK6tW7cSGBjIRx99xIULF/D392fkyJEO\n718ONMiTSgjhAfwHKL50az4wWUq5UwjxvhDiHinluoaQrSHx8/Lj64e/JrR5KHpPfY32j1S0XcMi\nZtpXBHKG/cPWFfs76ucKe/bsIT09nblz56LTmZ0kvXr1Ms/rQqn6Z599ljZt2gAwZcoUnnvuuUoK\nytkaFcnNzcXf31+7/vHHHzEYDJrFNWTIEG666SatfcOGDa6+Vd577z3+9a9/8cMPP7B9+/ZKbkR/\nf38yMjJcnu/o0aMEBQWxa9cukpKS+Pnnn5k/f75mnQCsWbOGN954gwULFtC3b18bK6p9+/a88cYb\nLq114cIFzQIE899sYWGhw/6ZmZkcPnyYlStXAtCnTx969+7t8H5cXJzL77ux4vSpJ4T4P2fNgElK\neUs11p0HvA9MujRPVynlzkttG4HbgStOQQG0C2qnva7JPo8l2q7iHlRdWE8q7VHj4uzZs0RHR2uK\nw13atm2rvY6OjiYtLa1GawQHB1NQUKBdp6WlERERYdOnJi4pIQS9evVi+fLlvP/++zzzzDNaW0FB\ngVv7rlu3bmXQoEH8+c9/BmD9+vVkZGTYKKjBgwczePDgastrwd/fn/Pnz2vXlmAPZ/2vu+467Toq\nKorNmzc7vH/ZKyjMymOok7ZP3F1QCDESyJJSbhFCTL502/p/eQEQ6O68isrUR7SdSntkH3ctoJpY\nTBWJjIwkOTkZk8lUSYHo9XqKi4u164yMDCIjI236nD17Vnt95swZzZpydY2KdO7cmePHj9OtWzcA\nwsPDK53pS05O1h6oCQkJ7Ny50647sk+fPnz11Vd21zEYDDZ7UGAOZHDHvbdt2zaeeOIJ7fr8+fMk\nJSVx8803uzTe2sVnjT0XX2xsrI1bNCcnh65duzqcu1OnTuzatUu71ul0GI1GOnXqxM6dOyvdvyyw\nhDLb+wEeB3ydtMc6G+9gzPfAtks/54GfgDKr9kHAuw7GyhkzZmg/27Ztk1cCJpNJmkymhhajEuXl\n5fLQoUPy4MGD2s+hQ4dkeXl5Q4tWp5j/bBovRqNRXn/99XL8+PGyqKhIlpaWyt27d0sppbzlllvk\npEmTpNFolBs3bpS+vr5y2rRp2th27drJzp07y5SUFJmTkyN79+4tp06dqrV99913Va5Rkfnz58vR\no0dr12VlZTI6Olq+++67sry8XK5evVp6enrayFEVWVlZcuXKlbKwsFAajUb5zTffSD8/P/nll19q\nfUpLS2WLFi1kenq6dm/kyJFy1KhRduc0mUwyNDRU5ubmavf0er3cvHmzTEtLc1k2VykqKpLXXXed\ndt2lSxeZmZkppZTy5MmTlf7mS0tLZY8ePbTrXr16ycTERIf3GxLL38i2bdtsntmX7ruuL5w2wjtA\nIvBvoIs7E7u0OGwFrsbszrv10r33gQcc9K/9T7KRk1+aL4d9Pky+//P7Lo8pLy+XRUVFda4oioqK\n5OHDh20U1OHDh2VRUVGdrtvQNIX/h2fPnpX33nuvDAkJka1atZJjx46VUkq5d+9e2alTJxkQECCH\nDx8uH3roIRvFEBMTI9988015zTXXyODgYDlq1ChZUlKitVkUlLM1KpKdnS0jIyNlaWmpdu+XX36R\nN9xwgwwICJBDhw6VQ4cOdUtBnTt3Tvbt21cGBwfLwMBA2blzZ7lo0SKbPp999pkcMmSIzb0//elP\nlfpJKeX+/fvlpEmTpL+/v037s88+K2fNmiU//PBDl2Vzh+XLl8tXX31Vzpo1S3700Ufa/RtuuEHu\n27evUv+2wCWWAAAgAElEQVRvvvlGTps2TU6dOtWmv6P7DYWjvxF3FZSQVWyaCiE8gXuAUUAQsBj4\nREpZ7HSgCwghtgJ/AySwEPAEjgBPSjuCCSHs3W76LFgArVvDgw9Walp7dC2DPx2MdzNvvh/5Pd3b\ndnc6VX263AwGA8eOHasUKRgfH39Z70VVjI5UVM3UqVMJDQ11GIpeF/Ts2ZNFixZxzTXXAOaIvOuv\nv54DBw5UmddSUTMc/Y1cul91KKmlvzt/aEKINsBzwBNSypYuD6wlLksF9euv0K0bSAlvvQUvvggV\n/NdPf/U0/977b8L9wvn5yZ+JCIiwO1VDKIwrcQ9KKSiFwjn1qqCEED7AYGA44A8sllIudl3c2uGy\nVFBSwrx5MGGC+fqZZ+Cdd8DqG165sZzbl9/O92e+58Y2N7Jj5A58PX0rTVVcXMzp06e1Crtg3jBt\n164dXl5edRYscaVF8SkFpVA4p14UlBCiHzACuA1YA/xPSlm9hFy1wGWpoCysXAkjRkBZGQwaBJ98\nAnq91pxdnM3NC2/mVO4pJveazMz+M+1mj7BnQYWFhZGRkXFFWTl1iVJQCoVz6ktBbQf+C6yWUl6s\nhpy1ymWtoAB27IB774ULF+Dmm2HDBrDKIfZ/if/HO//3DpNumISXzstuLr6KLjeLcqqotGJjY20O\nCSpcRykohcI59ebiu5SS6G6gJZACfC2lzHVP3NrhsldQAEeOQEICnD4NMTGwcSPEx9u1jqByNvOg\noCAbl1tZWVklt5+F8PBwp4kpFfZRCkqhcE5tKSinJ+wuufh2AO2BUqAb8LMQojrZIxSu0LEj/PCD\nOXDi1Cno1Qt27bJbyRbMxwQqJoO1TiBrL+WRhfT0dHJycur6HSkUCkW1qMrFtw34q5Qyy+peOLBc\nSjmgHuSrKM/lb0FZKCyEYcPgyy/B25uyRYs4cf31Tr+5WwIi9FZ7V/BHpJ2jbzS1HeV3uQdNKAtK\noXBOvVhQgM5aOQFIKdNdnVxRA/z8YM0a+Nvf4OJFvB55hJCFC0FKzZISQlBYXsi/Dv+LclM5UtpP\nBhsUFERsbKzDpdwpE29dht5eW2Zmpk0l4Nxc595gZ/MpFIorm6q+3jpK6KTqSNUHHh4Y3n2XbL2e\n1m+/Tdg//4n3qVOkzZhB3DXXUFpayl2f3MWPWT+SW5bLfwb+x6HF4uPjQ3h4OOnptt8vpJSUlJRU\nsrrs4ezMU25uLikpKTbzAqSmpuLn52dXrivxDJVCoXCdqhRNrBDi9Qo/b2Dek1LUA2Xl5Zx//HGS\n334bk68vwevXE/PEE5gyMwkKCmJewjy8m3nzadKnLDmypNJ4i4VSWlqKr68vrVq1qtQnIyOjSgvG\nWQFES5s9LDWo3JlP0fD8/e9/57XXXqv1vvXFrl276NixY0OLoaghVe1BjXDUJqX8sE4kcsIVtQd1\nCevoPZ8jR4h+9lk8MzOR7dohvvwSOnVixcEVPPzFwwB8MuQThl5rTkBvsVDAeR0gR3tX1jLk5+eT\nkZFh9xAw4DBS0NEel7NDxa5Ycw1JY9+DiomJYdGiRdx2220NLUqT4Pvvv+eRRx6xyeKuqBm1tQdV\nlYtvs709JyGE84RwimphL7jAuq5TWadOJK1cSeyLL+Kxbx/07AmffspDdz1Ean4qE76dwPA1w7mq\nxVV0Ce3iMDCiIiaTyWEhQ2dKznrPy9F/Rkc1qK7UgooXL14kPz8fIQSBgYF4enrWuwxGo1HlorNC\nWu3rKhoXVbn4Pra8EEIst7rvWslIhcvk5uY6DC4ICgoiPj6edu3aEdu7Nx67dpkTyxYUwN13wz//\nyUs9X+SFHi/waOdHuSrgKkpKSlxeWwhht5KntRvOWpnodDob5WNRokIIrTZQaGgo8fHxDveUKo5x\npsyaEoWFhWRnZ5Ofn19JAZeUlJCYmEhmZiaZmZkkJia6FaDiCsOHDyc5OZmBAwcSEBDAvHnzOHPm\nDDqdjsWLFxMdHc2f/vQnAB588EHCw8MJDg6mX79+/P7779o8o0aNYvr06YDZwoiMjGT+/Pm0bt2a\niIgIli5dWq2+58+fZ+DAgQQGBtK9e3emTZtGnz597L4Xi9wLFy4kIiKCiIgI/vGPf2jtZWVlPP/8\n80RERNC2bVteeOEFysvLbeSwEBMTwz/+8Q+6dOlCcHAwQ4cOpaysjOLiYhISEkhLS8Pf35+AgAAy\nMjL4+eefuemmmwgMDCQ8PJyXXnqpZr8YRbVwpWChhbYO7itqiD1FUDG4wKa6roeHORVShw4waxY8\n/zziyBGmzppJWtY5UpJT7LrbHGHZ/6kYzODo4RkWFkZAQIBN3+oUR6yPgor1SUZGBjk5Odo38sDA\nQJvqtOnp6drvV0qJ0Wjk3LlzNtVli4qKSElJwWg04uvrS2RkpFufy7Jly9i5cyeLFy+mf//+gPlB\nD7Bjxw6OHj2qfYlISEhg6dKleHp68vLLL/Pwww/z66+/OnxvBQUFpKWlsXnzZu6//34GDx5MYGDl\n2qLO+j711FP4+/uTlZVFUlISd9xxh+YmdsT27ds5efIkiYmJ3Hbbbdxwww3cdtttzJ49mz179nDg\nwAEABg0axOzZs5k5cyZAJato1apVbN68GW9vb3r16sXSpUsZPXo0Gzdu5NFHHyU5OVnre9999/H8\n88/z8MMPU1xczKFDDZbh7YqmutF4jdcB3wSxdwjXUXCBhk4HM2fCihXg7Q0ffID3X+6mWU6OW8rJ\n2Xo6nc6u685yCLgi1geEXaU6YxojBoNBU05gVkB5eXmUlpZqfexVObUOCrFk/SgvL8dkMlFUVKQp\nF3exl3Fk5syZ+Pr64u3tDcDIkSPR6/V4enoyffp09u/fb1Oa3RovLy+mTZtGs2bNuOuuu/Dz8+PY\nsWNu9TWZTHzxxRfMmjULb29vOnbsyIgRDre5NV555RV8fHy49tprGTVqFJ98Yi7kvWLFCmbMmEFI\nSAghISHMmDGD5cuXO5xn7NixtG7dmqCgIAYOHMhvv/3msK+XlxeJiYnk5OSg1+tdrqirqF2qUlDS\nwWtFLVKj/Zhhw+D77zGFhdF8715ihw7F5/Bhh90tqZEqYm89R4quOgrQGZfDWSiDwWD3S4a1UgoM\nDLTpY7GyLBQXF1eao6SkpNY+b2trzmQyMXHiROLi4ggKCiImJgYhBNnZ2XbHhoSE2JR21+v1dt3C\nzvqeO3cOo9FoI0fFcvMVEULY9I+OjiYtLQ2AtLQ0oqKi7LbZo3Xr1i7JD7Bo0SKOHTtGhw4d6N69\nu8My84q6pSoF1VsIkSaESAdusXrdqx5ku2JwdT/G4YO8e3dMP/1EcZcueGVk0H7ECAK//BKA3LJc\n5h+aj0EaCA8PJyYmhvj4eNq2bVvlevYUpBCiVgMZnO29NSW8vLzsKn7rhLytWrWiRYsW6HQ6mjVr\nRmhoqM0enfVD3Rp3N/Ad9be+v2LFCjZs2MDWrVvJzc3l9OnTlfYaa5tWrVrh4eFhc16uqsg5KaVN\nn+TkZNq0aQNAmzZtbCzMM2fOaG3uYO/zio2NZcWKFZw7d44JEyZw//33u7Wvq6gdnPpVpJSXd0hV\nI6Kq/ZiqDrV6REVRuGkTpU8/TYvVq4mcNImQ5DP8udsBdqf8H2VeZSzpsETbRHa0niWSUKfTkZeX\nV0nO2gxkcGXvramg0+mIiYkhOTmZsrIyPD09iYqKsomWE0IQHh5OeHi43Tn8/f3x9vamtLRU28cK\nDQ11W0GFhYWRlJRkE2ZeUfEUFBTg7e1NcHAwRUVFTJo0qc4j2XQ6Hffddx+vvPIKCxcu5MyZMyxb\ntozo6Gin41599VX++9//kpSUxJIlS1ixYgUAw4YNY/bs2dx4441av0cffdRtuVq3bk1OTg75+fkE\nBAQA8PHHH3PHHXfQsmVLzfJ19AVCUXc4fQoIIaY7apNSzqp9ca5sbAIhrHD5Qe7tTdqMGZRccw1t\n3ngD/fv/YU7C9dzRS8/HBz9GV6Lj5etfBtAUnPX4qs5NCSHw8/Or8n24movPsvdWsRRIWVlZk1NQ\nYLaWrr766mqPF0IQExNDbm4u5eXlNG/e3KXPuyITJ07k2WefZcKECUydOpUhQ4ZUUj7Dhw9n06ZN\nREREEBISwquvvsoHH3zglqzV6btgwQJGjhxJeHg48fHxPPTQQ+zdu9fp+L59+xIXF4eUkgkTJmhR\niFOnTqWgoIDOnTsjhODBBx9kypQpbssbHx/PsGHDaN++PSaTid9//51vvvmGcePGUVJSQnR0NJ9+\n+qm2d6eoP6o6qHsOyAU+wVxqQ/stSyld/99cS1zOB3UNBnNwnj1cOdRqMBg4evSo1q7ft4/IcePw\nzMnhy+4h3JeQR7k0MPKqkYy7bhw6nY74+HjAvM9hNBqrPDflykFad9IXNUSJ+tqgsR/UbUpMnDiR\nzMxMliypnAXlzJkztG/fnvLycmW9NDHqK1lsOPACEAsMBC4CHzeEcrqcMRrNVTYcueOdBVFY9qVK\nSkpsviUWd+3KyZUrKe7Uibt/yuGzz3V4oGPpiaVsTduKEIKcnByOHTvGmTNnSElJqfKhW1XgRmlp\nqTaPK+mLLtezUArHHDt2jIMHDwKwZ88eFi1axH333eewv/oicGVT1R6UAfgS+FII4QfcB6wQQhRL\nKYfWh4BXAr/8AiEhYAloKiyEf/8bJkwwX1se5CkpKTaWSWFhoY21UvGP2RAWxqkPP6TNrFncu349\nn5XDpj9fzZ9a9sZkMpGdne3yA0AIQcuWLR22W7sHK45z5rK73M5CKZxTUFDAsGHDSE9Pp3Xr1owf\nP56BAwc67K8yPFzZVFlRV+soRF/gIaAHsEVKWe9Hqy9nF19ZGViMk8WLYd068w9AUREUF+eSlfWH\nArBXyt0hUhK8ahXhb76Jrryc4uuuo3DRIs7p9c7McO26efPmFBUVaeeiKrrtHFX7tczV2F127qJc\nfAqFc+qrou7NQoj5QoiDwMOY96KubwjldLlj7Tnr1AmmTv3j+u23jbz4olGzkqSUZGRkOJ2vefPm\nwKW0RDodPmPHUrJ5M6aoKPQHD9Li9ttpvnOn3bFRUVFa9JgQgqKiIgCHbjtH1X6hdqP+FArFlUVV\nQRIm4AjwDVCG1WFdKeXkOpeusjyXrQXljIQEIyNGnKFTp2IAPv64BTfeWEp8fLHDMUIIYmNjMZlM\nFBYWkpWVhRCCZrm5REyciP+uXUghODdmDKefGIHe2xwt1rZtW+3kv6PP2l6Ahr1gh9jYWJtzQLVN\nQ1XuVRaUQuGc+gqSGAXMBQ4AR4FjVj+KemLdOkmnTuZDgqWlgvffDyUgwHzwVgjB2bNe2HteFhcX\nU1RURFaWuSiylBJDYCBn3nuPzGeeAcD40X94dOVtfHp8MR06dCAoKMipRWSZxzpYwlGwQ10qp4Y6\n4NuUs10oFE2Nqr52dpRSTnTUKIR401m7onbw9PSgbVtzyY1mzXS88UYqN91kzkKQl+fNX//qy5Yt\nx2je/I8wdCml47QvOh3nxoyhuHNn9vxvHCeaFzL74Ns0Lylh4sPv240ahD82rO257eoz2KGhDvha\nAkEsylihUNinqsPXrlKViy8T+M5RM9BfShnm1oJC6ICFQDxgAv6GOXx96aXrQ1LKpx2MvSJdfBbs\nubS++87I8uUXeOkl855UUpI3q1YF8/LLzveoLHhmZrLz308y+rpTSAHjdX2YM3kbeQUFNhGCYWFh\nmtXk6+trowiqcrXVtiuuIYodNtUzWwpFY6K2CxY+WEX7f1xdyIqBgJRS9r4UGfg6ZmU3WUq5Uwjx\nvhDiHinlumrMfVljL9PEn/7UjG7dPEhNNQc0rF4djLf3Hw/Rs2c98fKStG5t3zUVfcstxN96DP20\nexnh9TVvsZPsZyP537S9+MXHa4qlsLCQ5ORkG4UVEhJS5cFcdw7uuoo9C89kMmE0GjEYDHWiMC63\nrBcKRVPA5TDzWl1UCJ2U0iSEGA70BwZIKSMvtQ0CbpdSPmtn3BVtQdnDOneeyWQiJUVHevoZQkLM\nOfdefrktnTsX8/DD57Ux1q46a2Wx8ZNZDDk8g2f2wNz9obBsGdxxh8Mw8tDQUM6dO+fQqqhLq8Na\n8ZlMJi3i0B0l6I5lpywohaLm1HaQRJ1wSTktBd4FVmBbALEAqFwFTVEJ60CBkydPUlZWxtVX+9Cl\ni7msgJTg6Sn5y1/+SPo6fnxbCgraERsbq2WisHDXsOn89vBO5hj7Q1YW3HknTJhAWWGh3T0XS2Sg\nNdZ1papV58pFLFWGIyMjNcXkSvYKC+4GWaisFwpF/dNgf11SypFCiFDgZ8DXqskfc/4/u7zyyiva\n6379+tGvX786krBx4yxQwGI9pKSkMHv2H4d7U1M9+flnf2JiCjh58jQg2LTJnxEj/AkJMY+5umNv\n2LwF5syB6dPhrbfw3b4dj1mzKGvbtqIYlWoVSSnR6XQUFxfbLXjocp0rF/Dw8KBZs2Zuu96qG2Sh\nsl4oFO6xfft2tm/fXu3xLrn4hBADMCszHbAAmCalXFGtBYV4BGgrpXxTCBEA/AacAF6XUn4vhHgf\n2CqlXGVnrHLxXaKqQIGcnBzS09NtxkgJmZmehIWZ3X+//ebLtGlt2bAhkbi4WIxGE15eXnh6mt1z\nhh078B41CpGcjNHfj7Rp08m76y678liUUVBQELm5uZrSqHjtyP1W3UCK6rjeGiLIQqFQuO/ic1VB\n/YQ5zdF7wEjgMynlrdUUUA8sAcIwK703MJ+x+h/giflg8JP2NJFSUH9QWlpKYmKizT3LgxlwetDW\nwt69erKyPPnLX/KRUrJlSyC7dvnx7rvFmlIRubl4zpvO8BbfsXA9RNz8F9ImT8Z0qW6OZd2oqCg8\nPT05efKk3QO7JpNJs5wqKqKaBlK4O17tJykUDUNtR/FZKAYyAYOUMkMIUW0tIaUsBv5qp6lfdee8\n0qj4QAZs9kQspcOrUlA33mjORGHp9s03AfTrl8+FC+Y9q927mxMS4sUn9wTyw2m45XH4bNVX9L9v\nLymvvUZR9+7aXJZCiPbcbSaTCb1eb1eR+Pj41PhMk7uuN8t+UkVZlHJSKBoXrlpQ64AQ4L+Y94j6\nSSkfqGPZ7MlxxVtQrqQVcpa81RllZQIhzIEVUsIDD8Ty0ksZ3HDTeSb9PIktqVvQSXj7G3j2J8gZ\nPpzM555DentrLr6Kazqz6hwp0dpwt7niMmyoVEkKxZVKXUXxPQiMllIuA74HHqmOcIqa4ygyzno/\nxTrizB28vCSenmaFYTDA3XfncvPNRXg38+bNbvNovncyJgFj74K/3y0IWbaM2KFD8Tl2TIugs6xZ\nMdLNntyOFKjJZKpRgTpXI/Q8PDzQ6/WXnXKy1AhTaZkUTZ2qsplvE0J8BPhJKX8HkFIeklJerBfp\nFJVwVrzQmqCgIGJjY11WUtbh08HBwXh5CR577AIWPXHiuJ4O6ZOZe/NcvHXe+P5pKFmB7fFJTKT9\nsGG0XLIEjEaEEERHR9OuXTvi4+O1vSBH6ZMcyXLy5Mlq5dezjtBzJ+y8qVJRGTVUjkKFoi6oKtVR\nXyBDStkoksMqF58ZV4MCHEWrVQwNB4iJiUEIobm7LO6vkpISMjIyEEJQXm7Cw0NwpuAMP33TmV++\n1/Fh63GEfPopAPk33EjGa7Nof/vtdq2SinJX9busTuDClRShV/HztFcjTAV/KBoTtR7FJ4S4BxiA\n+fBsLrAT+LwhNIVSUH/g6h6LvX2fig8yi5UVFhaGr6+vzZwGg4GSkhJt/NmzZzGZTBw75oOU0KFD\nKX47dxL80isEFmch9XrE66/Ds8+CHTedRW6j0ciZM2ecvsfqKJYrJULP0T5jxS8gl6tyVjRNalVB\nCSHew+wG3Ig5w4M/cBfgKaV8ooayuo1SUO5j+ZZt/bm1bdsWHx+fSiHhgE3VXEAr4y6ltJvayMLM\n55rzgu5Jen73HQI42643F+YtpvOQq4DKCtWVQI7qKpaahq03heAJe5ai5YvG5a6cFU2X2lZQ30sp\n+9q5v1tKeUs1Zaw2SkG5j8Fg4OjRozb3LOeWLNaQPRxF2AUGBpKfn1+pLbkwmYe2PURPGc2H/0oh\nNP080tsH8dpsckeOZOv3F7j66jKE+ENh5ObmkpKS4nD9miSWra6SqYvktnVBVdZxY5dfcWVS21F8\nOiFEnwoL3AqUV0c4Rf1jSSRrjb1v2q6Sn59PbGwsoaGhNnMlFyZjMBn4pvwAXcf68NW9dyIulsJL\nL6G79U+89uhFioqwCVoICgoiOjrablRiVFRUjR6s1YnQa0oBFo5yA4aEhBAfH18pSEWhaIpUpaBG\nAi8JIVKEEKlCiLPAi8CTdS6ZolZwFPXn6+urPeDcCUe3hLSHhobSoUMHoqKiAOgd1pvP/vQZHYM6\nklqaxuCu3/HPRU9iDA8j4Pf9/HixG9ErF4LBQGKiD09e+h/k6+trdx1H9+uSukxuWxdYEuZWVEaX\na/i84srDqYKSUp6UUt4jpWwLREkpIy9dn6gn+RQ1xNE3bTArr9jYWFq1alVpXIsWLWjRokWl+xXr\nLvn7+9O2bVtzeLl/NB/1+4gnrnuCclM5L6Uu4fftq7lw7714Gi8S9s47xA4bxr4PkggP/+O/Xk5O\nS5KTzWHyFjdVQzxcXQ3hb0woZaS4nKlqD6o9MB/oBhgxK7SDwAtSyuP1IqGtPGoPqgKu7rVY9yss\nLHQr3Lsi1oEUlhRDRUVFWvkNKSW/FP9CIYU8ddNT5Obmkvfpp4TPmoVXWhpSCEoff4aL014iJT+f\n8ePb0rVrMcOGmWtWWZRUxYjC+qCp7EEpFE2R2g6S2ApMklL+ZHWvB/APFSTR8FTnYWovyWx1saxr\nL6CiYvSYwWCg7MIFfObMQffOO2A0Uh4aStqkyUz88WGeeTaLwEBzwMazz0bx9NNZdOxoPg9e8X3V\nRZSd9ZxQOaFtXa2rUFxJ1HaQhI+1cgKQUv5YLckUtUp1NvRzc3M5efJkrclgUUr2vjRU3Lvx8PBA\n36oVunnzOPd/WzB264ZnVhbRLzzPB5kP0LLYHM6elubJwYO+xMZevPTeJAsWFFFa6jxTQk3S+1Sc\ns7CwsJLbTGVoUCjqn6oU1H4hxGIhxINCiDuEEPcLIRYDB+pDOIVj3N3Qt1Zo9YH13o218lh7dC3t\nvx3EzGl3kjp5EsbmzQnYvp24e+4hZNky2oSWsGZNopYTcN8+PUuXtsRoLMNgMHDmTApGo61SzsnJ\nqaQ8XFVYrij6phTdp1BcTlSloJ4CNgDdgSFAD+DLS/cVDYg7G/oGg4H8/Pz6Eg2Ali1b4uHhUcny\n2PD7BgrLC3n1t9cYErGV7Z8tJO/222lWUkL4W28R+9e/EnHyD6Pd01Py3HOZeHt7kZOTw5YtAUye\n/EdlXykl6enplZTH0aNHXbJ2XFH0TS26T1EzVLLdxkNVUXwS2AX8APwE/B/wg9oIangcRedV3Bux\nKAjLQ7y+CAkJsWt5vHD1C7zV/S2CvYL56dxPDPr1Cf7xTA9OL1hAWUQEvseP037UKNpOmIBnZiad\nO5cwYoS5OGJ2djbbtgVw660F2jrbt/tz6JBtSLrlfbpi7VSl6A0GA0aj0W5p+4aK7lMP0LpDuXIb\nF1UFSTwBjMacf68Qc6qjPsAiKeV/6kVCW3mUbqyAs4376taFqimW+lQ5OTlcuHDBbp+c0hxe++01\ntqRuIbJ5JKsHrEZvELRcsoRWixahu3gRo68v50aPRj7/PB7Nm5OVlYXBYK5V5eFhLrR4331xTJ6c\nzk03FQFQUKDD399Wmeh0OsLCwggICLD7GaWmplJQ8IfSCw4OJiIiwm5yW4slVRfRfa4EYagow7rj\nSsnj2JDUdhTfbszFCcut7nkBu6WUN9VI0mqgFJR7FBcXc+rUqQZRUK6sKaVkU8omQn1D6dqyq3bf\nMzWVsHnzCPz2WwAuRkeTPmEChbfeajPeYIAvvgjmgQcuIASUl8Mdd8Tz0UdJtGljm+zEIlNoaCgt\nWrTQ3I/29uUsCtZerkILbdu2rVXF4IriUQ/QuuVKyoTfUNR2FJ8nUPFIvx5QWqIJUFJSUu/KCVxP\noSSE4M7IO22UE0B5RARn336bUx98QGlMDN5nztDu6aeJeuYZvJKTtX4eHvDgg2blBHDypA9XX11K\np05+CCEoKvJg7twwpPxDpqysLI4dO0ZWVpbDoBEhBMXFxU4zbFQVJOGOG85REEZpaanNHGovrG5p\nige1L3eq+tr1KvCLEOIEkAcEAHHAuLoWTFEzDAYDGRkZDS1GlYSEhJCTk1PpfrGhmNd8tzH64//Q\n4YsthL7/PgHff4/f7t2cHzqUc2PGYKxgYXToUMr775/hwgWIi4vjvfeMZGYaNAWWl9cMgMBAo3ao\n2B5SSvR6fZWZ1svKylyqe1WVG86ieCqul5iYWOlQtHqA1h2Wfd2KvztlnTYcrtSD8gA6YlZO+cAR\nKWWD7M4qF5/r2HNXNCYsCWELCwvtKqh3Dr3DomOL0Hvo+VuHvzEi6A4iF/yboPXrEVJi9Pcna/Ro\nzg8bhvT2rjS+TZs2pKQ059Sps8TGlgLw3nuhFBTomDjRueJu27Ytfn5+5OTkcO7cOYfy23OtlZaW\nVnINOnPDWeptJScnu1R6pGIWkNrcg1IHkc2oz6HuqPWChY0JpaBcp6ECJFzFEnXoqNxGSlEKbx14\ni61pWwGI8Y9hYpeJ3HahBWHz5uH3kzkUvSwigsyxY8m7806wsogslkdQUJAWqDF1agSPPppDfLxZ\nYb3/fit69izk+uvNBRn9/f2JiIjQlAA4PoQcFhZGSEiIzX1H5UMc7WNYW1omk0lL3Gsv/ZT1HHXx\nAFXBF4r6oLaDJF531CalnOymbDVGKSj3cLfEuju0atWK7OzsOleAuzJ28eb+NzlTaK6+u+72dbT3\nj8Fv1y7C5s/H51LapuLrriPjxRcp7tbNZrxFEebl5dlE6hUX6xgwIJ61a08QGmp2COzfr+eee9pw\n5l1lzjsAACAASURBVIzj4IiK81oe4s6+ENizoBz1j46OpqSkhKysrCrnqC1U8IWivqhtBfU88Hfg\nNcBmUinlh9UVsrooBeU+FZPEOrJY3KVDhw4AnD9/3iZJbF1QZixjWeIyjucdZ+7NcwkJCeH8+fPI\n8nKC160j9F//wjM7G4D8/v3JfOYZLl59tTbenmxGIxw96kOnTmZrKivLg8GD49i/P5fCQtf27qwf\n4o5cqo4KLzqKGIuMjLTr7gsPD69ksdUWKnpNUV/UuotPCPERsFRK+W1NhaspSkHVHHt7JBYsD3KL\neywgIIC8vLxK/So+LA0GAxcuXCAzM7NOZbecQxJC0KJFC23vSldcTMulS2m5dCm6khKkEOTdeSdZ\nTz9NWXS0S3MfPOjLDz/4MWUKnDt3jmPHfFi8uCVz5jhW6BXdbvYsori4OHx8fCqNdWS12Kt0XNfK\nQllQivqitsPMAZ4A9lZfJFuEEB5CiGVCiB1CiB+FEAOFELFCiJ1CiO+FEO/V1lqKyvj4+NgtVGjZ\nV+nQoYNWAC8yMpLw8PBKczRr1szm2sPDA09PT7vr+fv7u1UQ0RnW8/j5+Wmv5yb+m4l9Svlp7Qpy\nhg1DNmtG0MaNXHXPPbSZMQPP9PQq577uuhJGjz5H9iVLbO3aIKKj/wjfzs4OJzHRVtFYIugsVmpY\nWJjN5xoeHm5XOYHjTCC+vr71HqnnalYShaK+cStIQggRC5iklKeqvaAQI4HOUspxQoggYD/wGzBP\nSrlTCPE+8I2Ucp2dscqCqiXsld1wda+kYj9HwQF1SVxcHEVFRRw6dYgBXw/AIA34efjxyFWPMKL5\nbcQv+sQc8Wc0YvL05MIDD3DuyScxtGzp0vyFhTpMJggIMFsy48ZF0q+fkUGD0gBzFovISHNOQOt9\nvoCAAPLz87XrqupaVQx4MBgMHD16tFK/Dh061LnCqE7whYp4U7hDrVpQQogpQoh/X3r9HPA5sFII\n8XINZPwMmHbpdTPAAHSVUu68dG8jMKAG8ytcwGQyodPZ/vrtHfqs6nCo5ZBpfWOp7BviE8JH/T+i\nV2gvCg2F/OfIf+j/63BeuD+AE2vXknvXXQiDgZAVK7g6IYHW8+fTzE5Ye0X8/EyacpISoqLK6N//\nj72pJ59sx969VDpgm5eXZ3Odnp7uNK9bxYq4ZWVllX4vOp2uzg7jWh8odrc6r8pbp6hrHCooIUQo\n8ADwthAiGngaGHrp5x4hRFR1FpRSFkspi4QQ/sAqYAq2ARgFQGB15la4jqun5qvqZ0+B1TUWV5Ql\n0q1TcCc+6PMBS25dQp+wPpQaS8kvz6esXTtS5s4l8fPPye/fH11JCa2WLCH+zjsJmzMHDxf3zISA\n55/P1HL8ZWR4cuqUNy1bWkLR4eOPW1Bebn98xewQznAleW1tJYqtiYJxtUyJSmqrqAnOviq1A7yA\nnsBVQDLmshsAfkA/YFl1FhVCRAJfAP+SUq4UQsy1avYHHP6lvPLKK9rrfv360a9fv+qIcMXj6qn5\nqvrZe6DWFdaJWi0WoHUwwY2tbuTGVjdyPO84zT2aa/cvXn01ye++i++hQ7T64AMCtm+n5Ucf0eLT\nT8m9917OPfYY5W3bVlrPEWFh5WzYcAIPD3Pi2r17m7N6dQseeshcst6iqCpuy0kpSUxMdJrHz/rz\ntowJCwuzyR1YG2eVrBWM5feXmpqKj4+Pw30za+xlv7DOrqHOVSkAtm/fzvbt26s9vqow841ACnAj\n5hpQB4C5QEsp5V+rtaAQrYFtwNNSym2X7q3DXEZ+x6U9qK1SylV2xqo9qFrG1T0EZ/1ycnJIdyEQ\nwRmuhKlHR0fj6+ur7dVU5yDyWwfeIq7Ih1FrThLxzVaElMhmzcj9y1849/jjlLVv77bsR474cO6c\nB7feWgjA118HsnVrAPPmnbXb37KHZ7Ew9Ho9Pj4+Np9xXl4eGRkZNntZGRkZtRZp5yzTiCuJcJ3t\nTQIqKlBhl9o+B+UN/Bk4JaU8JITwxOziWyWldO6rcDznO8CDwFHMrj0JjAUWYE5OewR40p4mUgqq\nceLoHI0lTN3ZQ9YdWrVqRUhIiE1whrOMDxU5kXeC+769DwC9h56BgX34264S+n6+G2E0IoUg//bb\nOffYY5R26mQz1tPTk3JHPrwKTJsWwS23FHDnneYikZs3B9CypYGuXYsB82fTvHlzm4PDer2ekpIS\nm6wSFR/wzrJLuIu7B4vt4chKUueqFI5QqY4U9Y6jyLO4uDg8PDxsLC9HJS7cwfIN35LHzmg0uhRF\neNF4kS2pW1h1ahX7svdp9/sF3czq3dEErV2L7pISKuralewRIyjo25eomBj0er3d92gPc/Z00OnM\n/957bxzTp6fRrZtZQWVne9CyZc33ZWpqlTj6XbijTOxZ1upclcIRSkEp6h1H38YdZVFwdljYVcLD\nwzUXWHUS4p7MP8nnpz7n/9s77/A4qqtxv0daNataki3hXnADDNjGGBdwoRcHCKH3EvgFQpLvCyQO\nJJB8SSAJCaGFFCAJJJTgEHCKDcYNA7YB42AbXHG33GXLlq26u/f3x52VVqtdaXe10o7MeZ9nHs3M\nzsw99+7qnrnnnnvOjC0zuGLAFXzrhG/h2bWLopdeonD6dFIPW3NdbZ8++O6+G268kc1798Zcls8H\ns2blc+GFB52cVcLZZw/mr3/dSK9e0Y3IIpGInFTRLjeIFZ2Dah86u1u/Kiilw2lpPiNcZ9fWSOux\nhFXq1asXPp8v4hxZja+GOl8deek2rXz//v3Z+tlnFLz2Gp/OfY7u28s5cTdQWMjeyy5j/9VX4+3W\nLS65Adaty+Dpp7vz2GN2furgwRR+/etSHnxwR3Cs24Z6QnPzZSDiRG5ubtxyBNNeysRtnanb5ImV\no0Hpt4uCEpGTsanfG9x7jDG3xCVhG1AF5U5ams8IZy5KRKT11pSUiM2KW1NTE/U81THHHENWVlaD\n8rzs7S+z7tB6hh7K4JqltVz9KQw45OHQOeew/8orqRoxgmZaJYyMLcn68suFLFvWhUcesSbK8vJU\nfD5hyJBcSkpK2Lt3b7N0JO1hLnND592eMnT2zv1oMZvGqqCirdmfgaeA8G5JyheagGt0uHmgcGur\nwrmul5aWNlyXlpbWogkwYN4LJRBmKNgVPtr5rkB8Qa/XizGGen89JxeNYE/NXtbkVfDAFHhgCowu\n8zLnhZkMmDmTmkGD2H/llVRcdBH+7Oywzz322GOpr69ny5YtYT+fOLGSceMONxy/+GIR1dUpTJu2\nuyEobiiR6hNvB+8G5RRtyvt46xfOpT4nJ6fTdO6tufUfrUQ7gnrTGHNeB8jTmhw6gnIxXq+X8vJy\n9u3bF9WbaksdTqTwSYG3xnCJ+3Jycpo8r6qqio0bN7Yqd7jQTYFn13prWbJnCbO2zWLujrl09xTy\nwYbzKXztNTyO8vB16ULF1Knsv+IKagcPbrJeK1D3PXv2NEuhEUxgTddDDx3D5ZfvZ8iQekpLS/nO\nd3yMH1/J6NFVTa7v27dvExNfvCMEN4wsog2nFa+cR4NX4Rd1BBWtgvodsBn4L9YtHGPM7DhljBtV\nUJ2DSJ5dsb79VlZWNks9EUvivnAOAOGIZIbctWtXk+gKNb4ath3exqD8QUh9PXlz5lD4t7+R/fHH\nrCiBByfBBd4BTDnrDvpefQee/PyGZ1VXV0ccRRUXF1NeXt6s8ykpGcjAgWnMmLG+wetv8eJsRo2q\nIiODhqSJ8XZebun0WlMgbZWzLfe7YXQZICkvE5s2wWefwUUXJeRx7WXiywCGOBtYJdXhCkrpHHg8\nnib/zPH+Y2VlZTU7F2wyDJQTWPAaHHC1rq4On88XlUNFODMk0CzVSGZqJoPyB9l70tI4eP75HDz/\nfDLWr+fluQ/wRrdPeYONsPu7HPvgNCanDeKSU26h7/EXIimRw156PB66devG3r17m7RRfn4mb799\niOxsH8bYEEv33NObOXPWNsT5C7RTOPNPdXU1qampETtXt5iNog2nFa+c0UZNCcUNo8tgCgoKmlkJ\n2oXKSvj73+H55+GddyA/H3btgigijCSaFmsoIh5jjBe4o4PkUY4y2mL/j6ZjCe1ECgoKqKioaDhu\nzZECCNtZhesUI1E7aBBn9XqMXtXLeXPRn3nnyCo+7+rjc9Yx8MlpnLntaSouvpiKqVOpd9KXBD87\nMJ+Wn59PUVFRk87n1FPz8HqHUFFRwerVB7n99r1kZdn7Vq3K5BvfSGPmzJSwHfyWLVsacnuF61yj\njcfY3sQTTitWOWPt3N06bxX68pcw/H6YP98qpddegyrHpJyVBRdeCBUVUFqa+HJbobVIEi8ZY64R\nkU04pj2c6A/GmNhjwrQRNfF1PhJh/49kZmmLN2BJSQnZ2dktpsGI5dnBSRy9fi/LFv+Dt//zJFP/\nsYoT19q5KiPCkTFjkBtv5P7uK1hzYCPDuw7npKKTGFowlMzUzJgSHP7856UUFPj5+c9tx/v22+X4\n/cIJJ1SHdU0PZ9Jy0yihtTnJ4Kj5oXIm2hR3NMxbRcW6dfDCC3bbFuQDd/rpcOONcPnlkJeXsOJ0\nHZTiKtpzniOa9VThRkEiQn8nOkRLRBtjMD8/n969e4e/f/t2chYvpmDGDPLmzSPFSZsx7OvCmuJG\nuTziYXD+YB6f/Djjjh3XxLwV6HRD5amrE7zeFEaOHITH4+HSS/2cdVY9N9xQx7Zt26ir8xNo4pY6\n10DnHnDUcMN8SygBp5nA9xm8SLk9lKxb5ufahY0b4dVX7fbf/zae79vXKqUbboCBA9ul6Paag1KU\nuIjX/h/NG3E0kdQjfR5sHopUVri5nXAcOnSoIZ9S8DN37doFqakcnjCBwxMmkHLwIPlvvUXBrFn8\nbfpSPuwJH/SEJX2Ez4q9rKpYRXqln02bNjWUGTDRzT0wl9LsUgrrCynJKkFESE83lJTkNZR7yikp\nXH99BllZqRhjuOWW/txzzy5OPNGOqHw+XzM5wX5H4bwi3bJOKDjnWKi5LbCfaFNcvL9b17J5M0yf\nbpXS0qAE6bm5cNllVjGdcYaNz+UidASldAixmGBieSMOvTYQoDaU0DVS0bx9txTCKZJnYYDWXNw9\ne/aQP3s2+W++SZfly6lMh+WlMHZfFyonTeLQ5MkcnjABf04O9f56Tn3jVLzGevLlpuXSP7c//XL6\n8aNTfsQJw05o1qaffXaQc8/NYubMz0lNNfh8huee687NN++jX78ezcxjbh4ttGRuAxJuigv+rQKu\n8eKLmc8/hxkzrFL68MPG8zk58KUvwZVXwjnndKjzQ7uNoERkEDYv1AqgTDWFEgvRTu7GOjkdOvld\nV1fHoUOHmimQ3r17N/FoC7h+t1RWpAXFoYuEw03Yh2bFbVbP7t0pv+46yq+7jrQdO8ibPZtRs2aR\nunUVBTNnUjBzJn6Ph6rRo9k+6TSu6TeVNd4y1h5cy8G6g6zYv4Kth7fiEU8zb7aq+ioe33Avt/yx\nJx9V9yKrNoudq47lrdk53HbbHsrKykhLy0HEQ5cu7vHmi0RrThKJdPSI5eUoWS7oEcv1emHxYvjX\nv+wWHNw4OxumToUrroDzzrPOD52AqFpVRL4OXAoUAs8DxwJfb0e5lC8o8XSWrSk/Y0xDHiloOU1H\naFnhvL9SU1PDmn6CO45I82Lhwh/V9+hB+U03UX7TTaRv3Uru/PnkzZtHl08+IWfxYoYuXszzQPXQ\noRyadBUbJ4xg7THpHPLadB2h5splG5fxzH+faVZ292v7IvJvRIRXXvExc6aH114Df4qfdRXr6JbZ\njby0vAbZEuXN19aOvDVzW6JMcbG8HCXLuaRZuTk5FHzwgVVIM2dCcOSR/Hw4/3xrwrvgAuiEzh3R\nfotXAWcAc40xj4nIR+0ok/IFpq0uxa11ZsGdUDjClRWqAANKq7q6GrBzVaEdR7cIAWVLS0vJzs5m\nw4YNYT+v69OH8htvpPzGG0k9cIDcd98ld8ECct57j6w1a8has4aS38HoggKOjBlD6nl+PLm50Ldv\ngwy+ah/fO+l77KjaQdmRMsqqythRtYNeuUUNdVy6NI1rrrFlrjuwjkvfvhSwa726Z3WnV34vxpWN\n45FzHmkmo9fvxef3keHJaGjT1rzv2tqRt+QmHumzWBVjtC9HyXJB93q9lG3ZQubKleQsWULOkiVk\nLV9uR04Bjj3WjpSmToUJE5qndW5D2ckYLUYbSWIRMB6roKaIyHvGmAntLl1zOdSy+AUgEZ1apH+o\nSJ5/4cITRStjuASDLdGrVy/q6upaDH0UitTWkv3RR+QuWEDuwoWkh3gXmkGDODBqFJWnncaRU0/F\nHybSeb2/nvTU9IY61td7qa+vY+nupZz95B2kFm6n2tcYF/DM/mcy54Y5zZ7z7pZ3OePPZ5CbnktR\nVhF5qXl0Te/KSUUn8cDkBxrd7Z25rVpvLTW+GnLTcklJSUnY3FaiFWO0c3Ed6oJujDXVzZmD9623\nkHfeaUgFA2BSUqgaMYLKiRPpcuWV5I0e3WIA43hI5GixveagXgIWAn1FZCbwRjzCKUo0JGLFfCSz\nXyTPvz59+jQxA7ZEuDfocKbCcOeBBnfpWJSaycho8AZM79OHlLIyPPPnw9tvw7x5yPr1FK5fT+Er\nr2BSU6kZPJgjI0dSNWIEVSNG4CspIT01ndLS0obFzIFOJ7++kN8Nf5/LLkvDm1rP1opdTLxwF//v\n9+Enzw/UHCBVUqmsq6SyrjErsIiwc+dO/H4/2dnZ+Hw+AJbsWcJdi+7CIx7y0/PpPr873XK6cWb/\nM3lg4gPNnn+o9hB7juyhuEsx+Rn5DW0ZTGvOLfGMcKL13GvXBc4+H6xcCe+/b7d33oEdO6x8ziW1\n/fpxeMwYDo8dy5FTTsHvhNQSEYb4fAmPcp/MBctRlWCMeUpE5gHHA2uMMSvbVyzli057rZiP1AnF\nklsp2igTLX0eryWga9eu5Obl2cWTw4bBnXfiramh9r33OPz66+QsWUKXFSvIWr2arNWr4cUXrcy9\nenFkxAiqR46k9uKLKfN4ME4dUlNh9OgdbN1qy6g53IcvDT+Or4yxx+XlcPfd9lEi8KUhX6Lqe1Vs\n2b2FNdvWcKD2AAdqDzTk1Nq9e3eT9qnz15HjyeGw9zDlteWU15azunw1PXJ7hK3j7A2zuXz65QCk\npaRR3KWYbtnduHjIxfzf5P9r1mlW1leyfd12xg4fS15WHvv37291bjES0bwcJdQFvbISlixpVEhL\nlkDQCAmAkhI480w46ywOnnIK2x0HnHjrGAvJdqCJ1sT3VWCwMeZeEZkN/MUY85d2l665HGriUxJC\nW2zqLbmfRxNiqS0Em5y8Xi/79+9nz549DYtsAVJrashcuZLCzz4jdfFisj75hNSqptHQfdnZ1Awd\nSvWwYVQfdxw1xx9Pbd++kJoKwNChQxva5Ykn4IMPrILyer2sWnWAsrIK+vSpi6me9f560gvSMZmG\nvUf2UpBZwIhjRjS77rVVr3Hv2/eyr2pfkxHarSNu5dkvPdvMxPbPLf/k/qX3A5CbnkvXtK4UZRZx\nZo8zuXHwjc3aLeCk0lZi/g1VVsInn8CyZXaB7LJlNhBrqENN//4wfrzdJkyA449vYrYLeKCGBlJu\nj6UBiV6C0F7RzJcBpxpjvCKSBiw0xoyNWbo2ogpKcQvhTEyBN2+fz8e2bdvizhjcEoG5jrq6uojO\nHsXFxRQXFwPYzqW+nsz16+mybBnZn3xC3ooViGM2CsaXlUXN0KHUHHccOePHk3HyyTBsGHvqCqiq\ngoICG83hscdK8HqFe+5pnpOrNdlD3f1bo8Zbw76qfew9spec9BwGFQ1q1mn+c8s/efKzJ9lft586\nX13DvdcOvJZpJ08DoFu3bpSUlADw+6W/575599Errxf9CvrRv6A//Qr6Mb73eEb3HB1TncJiDGzf\nDqtXN1VI69fbz4LxeGDkyEaFNG4cOPEaW6OjPAmTOQcVrYL6yBgzOuh4kTFmXFwStgFVUO7GTakJ\nOoJExwgMDuwKhFVAIjZTcEsJHaFxBBQpRNDBdes4MGeONQWuWkXmqlWkh0kCCUCPHviHDuVAaSm1\nAwbwwsenMOKKYnqOygMRfvazUiZOrGTs2CMt1i8gQ6CepaWlZGVlxfV7Cddp5ufns+/wPpZ8uoR9\nNfsoyihiQN6AJu0B8MD8B/jxwh83e+a08dN4+KyHm51fumMpa/atYXDRYIYUDSE/0875UFdnF8Ou\nWWOVUfDfI2HaIi0Nhg+3CmnECPv3xBPb5P7dUf9ziSqnvRTU94FzgQ+BkcBbxpifxS1lnKiCci9u\nCjraUcSTcBHsP2lRURH79u1rOBdINx/qJh1swgu0a3p6eosxCINjDbYUZDWQYHLv3r0ApO7fT9bq\n1ZRs307Wxo2wapXtbGtqwpbjz8igtrQH720fzPEXFpAysAd1PXqwaOdgjjuvKynd8yA1tUH2cP+7\nLUVbb41I7d/ab9Fv/Ow9spdth7axuWJzw3begPOY0mdK4/Nqa2HrVr694Hs8uuO1hvu716UxZH8K\n//NOHZeujtAfdetm5wgDCmnkSDjuOOjgSPFuo92CxYrIydh8UGuMMcvjlK9NqIJyJ24PldMeRKOQ\nIyVMFJFmESliiVjQ2ggt0PZAxO8FGkP4AE3WdDX5znw+2LIF36efsvedd8jYuJGMjRtJ37oVT1Ay\nx3CYlBS8hYV4i4pIKS2lOj+f+qIivEVF+AoL8eXm4svOxp+biz8nhwEnn4ynsDAhnXiTNktJsSOa\nysqmW0UF7NkDu3dTu20bNdu24dm/H8++faRVVJBy4AAALw6HGUNhXZHdqp2lRc+/DjdUDoChQ60y\nGjYMhg7lP5lbOZDm48SSExlWPIy01MSsRToaSKiCEpHbjDHPisjDNKbbAMAYc1/8YsaHKih38oVJ\nTeAQi0IOHUkFK6e2KPTQdViBZ0Cjsov0vRQXFzdLjlhQUNCqGSe0zJKsLLrs3Uv50qV4yspILyuj\nbu1O2LKT7jXb8YSJiRgVGRnWSzEjw5rFIm1gF6lG2qqrrSI6fLj53E8UmNRUpFcv6NfPRvru1w9/\nn96U9chhXW49xx13BscU9m1237l/PZfZG2w+10xPJiOPGcmYnmO4c/SdHFt4bHxtcpSQ6HVQgQQh\n6wFf3FIpRzVuSXzXngR33rG43oaLOpEI191Qd2hoHtQ00vcSWCAcvK6lvr6ePXv2tDgiDOeC7e3b\nl8rc3Gbl7Aekvp5nHvLQ07OTKydupKC2lk2Lt5N2YB89UneTcuQIqYcPk3L4MKlHjpBWXY0cPGhN\na47ZMWF06WIjdwdv+flQUkJ9166UezzUd+3aMOLzFxfT+6ST6BKy/CAF6O1skbjg2AvITc/lk12f\nsOHABhZtW8SibYu4dvi1Ya/3Gz8p4q4o4m4h2jmo2caYczpAntbk0BGUSzma56BC69bWEVBHmkRD\nZS8uLqa8vLxVD8NwpsBIsgXKCPe/6fNBfb2QlQVDhgzhy19O4YIL6rn88sPs2rWL2toUMjL8jb8X\nY+zI59Ah64RQVwf19U02b00N3qoq0tLTSc3IsJ5waWn2b/AWGInl5EBqakxOLYn6PvZX7+fDsg/5\nsOxDvjfhe2HNfcf95ji6ZXdjcr/JTO43mdN6ndYQRupoo72cJP4GvAisA/wAxph18QrpPHMM8DNj\nzGQRGQj82Xn2p8aYuyLcowrKxRyNXnyROq+AkgrnZh5LSpHg5wYn4Ut0HYJHWtF4GIoIhYWF7N+/\nP6qXjkjzbQECGYcffxxuvdXqDK/Xy9ixwqOPGk4/PXbTZiwvQq3dF+tzE/Vb31m5k56P9sQEzaBk\nejIZ33s8s66dddTNX7WXgpofcsoYY6bEKlzQ8+4FrgcOG2PGicgM4JfGmHdF5LfAm8aYGWHuUwWl\ndCgtza8FzH3p6ekxJ/zzer2sCU6HQMc5lrQ04mmJ1uSL5LkY7FUYTFkZnHUWfPqpXR/s88H3vw8/\n+lF4P4l4RzrR3het0km0tWB/9X4WblnI/E3zmb95Piv3rGR49+Gs+NqKuJ/pVhIei09E8oALjTFV\nrV0bA59j03cEolGMMsa86+zPAs4GmikoReloWppfC4RjiideWXCK9QCh81DtNSItKCggMzOzxRFP\nOFqbJws8N9warXD5sXr2bFROAHPm2NCCP/6xl6qqOvz+dLxeD4G+P965u2jviya8VnvEpivMKuSS\noZdwydBLANhXtY+yQ2Vhr12yfQn3zb2PiwZfxNTBUxlUNCiuMjsLLc7Mic0DtRxYLiLnJqpQY8zr\nQFCMeII1aiWQn6iyFKUtBOKuiQgpKSmISLO4a4EOMJhABxiJ1hxLKioqWLt2LZs3b2bt2rVUtOLS\nHSuZmZn06tWrSb2KiopaDAEUjeNLZmZmQ3sFnmWMYcOGDWHrEFBOAAMHwo9/XNlQ7yee2MV11zW2\nYbzOOIl04onnu46V4i7FnFR6UtjP/rn2n8zfPJ9vz/42g58azJCnhvCDeT9gXXmbZlxcS2sq/xrs\n2qc87GjnrXaSI3jGNheI+N/4wx/+sGF/0qRJTJo0qZ1EUhRLawFE4+kAWwo42lERpMN5Au4PTnjn\nELyYNpryw43QjDGt1qFfPy+1tVsb6r1uXSbnnrsLr7cHHo+HF17wkJfXl2HDtsQUpDWRwV2T7bF6\nz7h7GN59OP9e/29mrZ/FuvJ1/OTdn5Cfmc894+7pEBliYcGCBSxYsCDu+1tbBzUvMNckInONMWfG\nXVLzZ/cFXg6ag/qVMWahMwc1zxgzPcw9OgeluJJ45yXCmfHac11ZLGud2hKOKJ46tHRPVlYXBg2C\n55/3cuKJ1mV/w4YsTjjBQ7RiJcpk2lJ0jo7E6/eycMtCXl75Mj+Y+AP65Pdpdk11fTVZae5J757w\nOajgZ8chT7TcAzzjBKJdDfy9HctSlIQTbw6rcPMebX1LD0S7BsKmuo91rVO457dWz0h18Pl8LIg0\n+AAAFKBJREFUeL3eqHN1BeptDDz66GHy87ewbZtQUwNnnz2Ujz+262ijkSuRKVyMExG9o16Yw9XN\nk+JhSv8pTOkf3l/Nb/wM+80wju9+PHeMuoMLBl2AJ6Vzede2NoLaDczFKqcpzj4Axphr2l265vLo\nCEr5QtBWd+pQ9/WcnJyErPWJRa7Qa01QoNhI90V6fqgn3qZN6fzlL8W89FIeHo+HDRsO8tWvCk8+\nuR1ou2ddMtZMRSLe38KqvasY8fsRDRHee+b25NYRt3LbyNvond/SUuP2I9GhjiZG+swY806MsrUZ\nVVDKF4lYTVItxejr27dvsxQgsZoN4+mcA6O5LVu2NDnf0n2xmj3T09O5//59rF6dwUMPWdPbrl1p\ndO06kFGjYlcaLSmEjg7r1VaFuK9qH89/8jx/WPaHBkeKMT3HsOS2JQmXNRoSauJLhhJSFMUSq0kq\nkidZsDddMLFO7sfj5u3xeEh1Ipq35FIfek9wfTweT4vmv7q6Oi67rILKxtyGvPRSEQUFhlGjoq4e\n0LobeTzm17bMfbU1LFZxl2K+Pe7b/O/Y/+WdLe/wh4//wLkDE+aQ3e50LoOkoigRidRJBjq3cNEv\nYukwO8rNO9IIpiVPvOxsH126NJaRleXnttsaX9Rvvx0uvRTOP795ebHEWQz2CAzUo7S0tNUwUPEu\n6k2U16CIMKnfJCb1mxTxmjc/f5NhxcPoW9A8AG6yiDrdhhtQE5+itEy4OajAmqS2eOWFPj+aDje4\n44820kZrJq14ckAdOQK9e8O6deAkGubFF+Hii8HrjS/OYnl5eTNlH1qfRM1XdUScy4NVBxn41EAq\naiq46oSruHfcvRHXYrWFdgl15BZUQSlK6wTmfXw+X1hl1dYJ/WhMVuE61Wi8HNsyx9OSXPv2NSqn\nTZvg1FNh82Yvmzevxe83+Hw2vmykOIvBCiFaxZPI+ar2jHNZUVHB8g3L+dWKXzFz20x8xiauOGfg\nOXxn3Hc4c0DCVhfFrKA0xruiHGV4PB5yc3NJT09vl6gHHo+HLl26tOgYEVCMfr+/YZEu0OJ90DaT\nVktyBZQT2Gwev/gFiFhz3vLlWdx6a3/Atk9WVhZDhgyhX79+DBw4kPT0dLzexsA30UaTSOSi3tba\nPF4C31VRRhEPjX6ImefO5Ppjryc7LZvZG2bzi0W/SGh5saJzUIpylJKsqAdtmdhPZNSHSAwdajev\n17bPggV5nHGG9bAwxvDhh+nU13sYPTq8WTLadu2IurSV0O+qR3YPpo2YxkPnPcTznz3P6X1PT6p8\nauJTlKOYZOTpSsTcS2smrURGhdi+vQyvV0hLs+1z7bUFfOUrPk49dQ3GGCorU8jN9TepQ7xzcW5S\nTtDx67p0DkpRlCYko4NsT8WY6GeHts9zz8HFF1exZ4+dP7riioFMm7aTU06paTJ/5GbFEwsd+RLT\nnqGOFEXphCQyxE8wLXXQ8YZ+iqbMRAfSDW2fW2+15r/duw1799rzJ59chTFCamo6d97p56c/rSE3\nN71dFud2NO31XSUC90iiKEqnIZq37vZQjG1duBotgfkjKGP69E2ATbMyY0YN772Xws6dm9mxw9C1\na09ECjjmmIQVnRTa6yWmrbhPIkVRXE1HpQMJR0c6foRLR1JYuIH77vM0uI4/++wRli3L44031CG6\nPdBWVRQlJjoiaV8kokkgmejyAu7ddXV19Ojh44QTqhs+37EjnRtuaKz300/DDM0FnjB0BKUoSkwk\nO2lfsuZMwtX77rv3MGRIVwD8fvjlL+HVVxs//+gjOOEEyHJPSqZOhY6gFEWJiY4exUSSoT0WrrZW\nZkv1FoG//Y2GALXV1XDeebB3b4eJeNShbuaKosTF0eJmHSvR1vvzz63J79FH7fHu3XDNNTBnjlVm\nX0R0HZSiKIoLefRR+PRT+OMf7fHmzbBzJ4wdm1SxOhRdB6UoiuJC7rwTDh1qPH7yScjIaFRQxnxx\nR1aR0DkoRVGUDiAzE7p3bzw+5hi7KDjAjTfCv/7V8XK5GTXxKYqiJJmqKujbF9auhcJCe+4Pf4Cr\nroK8vOTKlkh0DkpRFKUTcvgw5OTY/c8/h/HjYds2SE+35r/aWjsK68xoPihFUZROSEA5gZ2LeuIJ\nq5wAFi2CyZOTI1cyUScJRVEUlzFwoN0CvP02XHZZ4/HcudYsOHVqx8vWkaiJT1EUpRPg80Fqqt0/\n7zy4/nq49lp7vHu3dcBwuxegmvgURVGOQgLKCeDmm+HLX7b7xsA558C77yZHrvZEFZSiKEon48or\nG+P77dkD+fkwYYI99nrhppugpiZp4iUM1ygosfxWRBaJyDwRGZBsmRRFUdxOSQksXAgpTm8+axas\nW9fo8Xf4sPUK7Iy4RkEBlwAZxphxwPeAR5Msj6IoSqdjzBj43e8aj196Cb7zneTJ0xbcpKAmAG8C\nGGM+AE5JrjiKoiidj+7d4cQTG4/37YOvfa3x+Ne/hunTO16ueHCTm3kecDDo2CsiKcYYf/BFP/zh\nDxv2J02axKRJkzpEOEVRlM7Iffc17vv98Pjj8PrrjecWLoQRIyA3N/FlL1iwgAULFsR9v2vczEXk\nV8BiY8zfneOtxpg+Ideom7miKEobWL0ahg2z+0eOQO/esGIF9OrV/mV3Zjfz94ELAETkNGBlcsVR\nFEU5+ggoJ7AegHfd1aicdu60c1huGQe4aQQlwNNAwHp6szFmXcg1OoJSFEVpJ379a1i1Cp55xh5/\n/rldf9W/f2Ker8FiFUVRlLjweq1bekGBPZ42Db77XejaNTHP78wmPkVRFCWJeDyNygng/PMTp5zi\nQUdQiqIoSoegIyhFURTlqEAVlKIoiuJKVEEpiqIorkQVlKIoiuJKVEEpiqIorkQVlKIoiuJKVEEp\niqIorkQVlKIoiuJKVEEpiqIorkQVlKIoiuJKVEEpiqIorkQVlKIoiuJKVEEpiqIorkQVlKIoiuJK\nVEEpiqIorkQVlKIoiuJKVEEpiqIorkQVlKIoiuJKVEEpiqIorkQVlKIoiuJKVEEpiqIorkQVlKIo\niuJKVEEpiqIoriQpCkpELhWRF4OOx4jIEhF5V0QeSIZMiWLBggXJFqFVVMbEoDImBpUxMXQGGWOl\nwxWUiDwG/BSQoNO/A64yxpwOjBGRkzparkTRGX4kKmNiUBkTg8qYGDqDjLGSjBHU+8DXAgcikguk\nG2M2O6feAs5KglyKoiiKi2g3BSUit4jIShFZEfR3lDFmesilecChoONKIL+95FIURVE6B2KM6fhC\nRSYCdxhjrnFGUEuMMcc7n30D8BhjHg1zX8cLqyiKoiQMY4y0fpXF056CRIMxplJEakWkP7AZOBf4\nYYRro66YoiiK0rlJuoJy+H/AS1iT42xjzEdJlkdRFEVJMkkx8SmKoihKa+hCXUVRFMWVdDoFJSLb\nRWSes/002fIAiOW3IrLIkWtAsmUKh4h8HNR2zyVbnmCcxdrznf2BzqLtd0TkN8mWLUCIjCeH/BYv\nT7JsHhF5QUQWOovep7qtHSPI6LZ2TBGR50TkPUfO41zYjuFkdFU7BhCR7iKyVUQGx9WOxphOswED\ngRnJliOMXJcCf3T2xwBvJFumMDJmAB8nW44Ist0LrAAWOcczgNOd/d8CF7tQxluB/0m2XEHy3QQ8\n6uwXAFvc1o4hMnZ1ZLzFZe14MfCssz8ReMOF7RhORlf9Hh3ZPMA/gDXA4HjasbONoEYBvZw3hH+L\nyOBkC+QwAXgTwBjzAXBKcsUJy0lAtoi8JSJzRGRMsgUK4nOskg8wyhjzrrM/C3cs3G4mI3Ch8zb4\nrIhkJ0muAK8CP3D2UwEvMNJl7RgsYwpQj23Hi9zSjsaYGcDtzmFf4AAua8cQGfthZXRVOzr8EquI\ndmAjB8Xcjq5VUOEW+gI7gYeMMVOAh4G/JlfKBvKAg0HHXhFxW9tWAY8YY87FRvJ40S0yGmNex3ao\nAYKXE7hi4XYYGT8A7jXGTAQ2EmFpREdhjKkyxhxx1hVOB+7HZe0YRsbvAx8C97ilHQGMMX4R+TPw\nBNa72FXtCE1kfBx4Eft7dE07ishNwB5jzNs0tl9wfxNVO7rFzbwZxpg/An8MPiciWTidhDHmfRE5\nJhmyheEQkBt0nGKM8SdLmAisw44CMMasF5Fy4BigLKlShSe47XKBimQJ0gJvGGMCLyWvYzuzpCIi\nvbEmlaeMMa+IyC+CPnZFO4aRMd9t7QhgjLlJRLoDHwFZQR+5oh2hiYwfAmONMTudj9zQjjcDfhE5\nG2u9eQHoFvR5VO3oijfoGHgQ+BaA2ICy25IrTgPvAxcAiMhpwMrkihOWW4BfAYhID+wPZGeLdySP\nZSJyhrN/PvBuSxcnibdEJGDKPRP4OJnCiEgJNo7ld4wxzzun/+umdowgo9va8ToRmeYc1gA+YKnY\n6DfgjnYMldEP/ENERjvnkt6OxpiJxpjJxpjJwCfA9cCsWH+PnWodlIgUYM16OVj79V3GmHXJlcp6\n8QFPAyc6p252g1zBiEga8CesXd0PfNcYsyS5UjUiIn2Bl40x40RkEPAMkAasBr5qXPBDDZFxBPAk\nUAfsAm43xhxOomyPAVdgJ6QFMMA3HRld0Y4RZLwfeAT3tGMX7P9JKdbC9DBW3mdxTzuGyvgz7Mv6\nU7ikHYMRkXnYYAyGGP+vO5WCUhRFUb44dDYTn6IoivIFQRWUoiiK4kpUQSmKoiiuRBWUoiiK4kpU\nQSmKoiiuRBWUoiiK4kpUQSktIiLZIjJXRN4XkROcc+NF5N4I189PZoxEETk9IGeEzzNE5NZ2KDfV\nqft7IpIfdP4EEZng7G8SkfRElx0vrckjIpeISKmIlIjIU20sa7OILBCRriLSbIG4iGSKyJ9E5E0n\n4vWrIlIoImc57TpfbObtQLTuEc59GSKyU0S+HfSse5zr/ysiu4Pu+YZT59tDy1fciSoopTXOwUYh\nvhO4zTn3TWwMMDdyC9Czhc+PobEeiaQnkGOMmRAUugfgMuA4Z99tiw5bk+ebQJ4xZrcx5uttLMsP\nnG2MORCh3JuBncaY84wxpwPvAT8wxswJikhQboyZ4mz/de67DHgZGyndVsqYXzrXfwuYG3TPE9gF\nrkonQRWU0hqHgS7OdlhErgH+YYypa+kmEckXkX850ZXfE5HJIvIlEXnS+XyaiMxw9q9xjnuJyEzn\nbfc/ItJTRPo6AYPnicg9IWX8SWw+nA9F5FoRGQmcB/zcedZdzuhvsSNLGnAfMExEvi8iDwbepkVk\niDTmevqpM2JcEm6k6JT1oVP2cyLiwUZtHiQivw26rge24/xfJwyNAL913u7nOW3kERt9eoHzvIkh\nZfV1ynpDRJaKyE+Czs917psvIsOd8xtF5EUR+cB5rkSqpyMPInK82Cj3bzujjtNE5ALgZOAFERkk\nIouda8922mW+iPxdRPJEZKLzvb0hIstF5L5wP4lAeRHYDZwjIheJDSb7FPDtFq4PcBtW6Sx3ZG6N\nlmRQ3Eayc4bo5u4N+w/9axrDJL2KHRH8Dhs9OfT6+djcL48AdzvnemAjLGcAnzjn/oMNxJkKvOLc\n8wpwrvP5FGxYq77Yzis1pJwcYD1Q5GxXOef/hB31CfYNPHD9m8BY53mBnE4PYkPCAAwB5jn7G4E+\nQDo2HEtwuYVOuV2c40exo8s+geeGXB9cxiZsUE+wgZC/gg0B83DQsz8NuT9Q/3zsC+X7wAhsNPCL\nnGtOAj5y9muB/s7+K9gUIZHqucmp4xXA8c65q4HfB32Xg0LabCNQ6uzf7XzPE4FPnTbvAlSEaYdN\nQLqzvyPCb+0SbKDTfcA84ISQz3eEHB8LLHH2zwRmhnw+EXgp0vehm/s310YzV9yBsf/V/wN21IM1\n7X0f+DrwIxE51hjzefAtzt9hOOlQjDE7ROQgNi3JOrHBQeuBJcAZQG9jzDpnFHCfiHwX29nVO8/a\nZIzxhch1WET+BxvbK5eQ1CvGGCMi9SLyMnAEa4JLa6GqwW/W1wE/B0qweWuCGYBVIlXO8ULgbKzC\njYZlzt/d2M58ODBBbH4uAVJFpNAYsz/onuXGMRuKyIdYJTMUJ9imMWa5iPRyrt1qjNnk7C/GKv5I\n9QxQBjwgIlU0Tx3TcL2IFAOHjDG7nFPvAj8F/g2sdH4rVc5zYkJskOW5xpg3RESAG4A/03Jutduw\nOc5mYpX3WBEZYIzZGGv5ijtRE58SFWLD+g82xryPTT/gxyqj0MRogQ5tFVb5ICI9sRlUy7HZPx/B\nviG/BTwEvO3csxobxHYKdmQx3TnfbM5CREqxiQ2/DFwE/EJsfis/tpMfDlxijLka+6af6sjmd/bB\nRoIOpGwZ5Tw3DbjcGHO1I8fNYlNEBNgEHCc29QvYt/RAYOBwnb+fpv9noXVZjQ1AOwUb4Xl6iHLC\nKS9TRFKxGZs/c+4LtO/J2AChAD2d7wpgvHNtDXYU21DPEJ4AHjDG3IyNxB+oRxPZjTH7gFyxUclD\n6x5Ma2a0cJ9fjZOpwFF0Kx25w97nmFWvAiYYYy4wxpyHDZp6VytlK50IHUEp0XI/8BNn/7dY5bLF\nGLM85LpAB/ww8EcR+QqQiTWV+UXk38BzWAVUBvwduMO5517sHE2mc883Q57ZWIgxu8R6mL2PzRH2\niPP8D5yyr8bOmb2L7dh2YDvpJUCaiDyMNVNOd+Z9PnaeWy8i+0VkCTbJ45vGmG1B5ZaLyIPAAhHx\nYXNsfRer6MJN/n+MVZ5rQj4P7P8eeFZEFmBHgk+HeUYdVlmXYBXYSmdu7Bmx83IerHMIWBPfUyLS\nB1hsjPm3iHwKvCo21UFwGoaADH8F/i4i+4HtQLFzfhE2j88dQffcDrzu1P0Ado5teIS6RaLQGQkG\nIpr/Cjs3+BsRWYYd8R7BpjEPJvi5U4GlpqlDyp+BT0TkfmNMqHJTOiEazVxRXIwEpfiI8vqdxhi3\nJPJsQEQ2AUNMK841HSDHg1hvwT8kUw4lOtTEpyhHF25+45wtNqdbUhCRu4Abk1W+Ejs6glIURVFc\niY6gFEVRFFeiCkpRFEVxJaqgFEVRFFeiCkpRFEVxJaqgFEVRFFfy/wF0auoBHORUHQAAAABJRU5E\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118d75e48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = df[['LSTAT']].values\n",
    "y = df['MEDV'].values\n",
    "\n",
    "regr = LinearRegression()\n",
    "\n",
    "# create quadratic features\n",
    "quadratic = PolynomialFeatures(degree=2)\n",
    "cubic = PolynomialFeatures(degree=3)\n",
    "X_quad = quadratic.fit_transform(X)\n",
    "X_cubic = cubic.fit_transform(X)\n",
    "\n",
    "# fit features\n",
    "X_fit = np.arange(X.min(), X.max(), 1)[:, np.newaxis]\n",
    "\n",
    "regr = regr.fit(X, y)\n",
    "y_lin_fit = regr.predict(X_fit)\n",
    "linear_r2 = r2_score(y, regr.predict(X))\n",
    "\n",
    "regr = regr.fit(X_quad, y)\n",
    "y_quad_fit = regr.predict(quadratic.fit_transform(X_fit))\n",
    "quadratic_r2 = r2_score(y, regr.predict(X_quad))\n",
    "\n",
    "regr = regr.fit(X_cubic, y)\n",
    "y_cubic_fit = regr.predict(cubic.fit_transform(X_fit))\n",
    "cubic_r2 = r2_score(y, regr.predict(X_cubic))\n",
    "\n",
    "\n",
    "# plot results\n",
    "plt.scatter(X, y, label='training points', color='lightgray')\n",
    "\n",
    "plt.plot(X_fit, y_lin_fit, \n",
    "         label='linear (d=1), $R^2=%.2f$' % linear_r2, \n",
    "         color='blue', \n",
    "         lw=2, \n",
    "         linestyle=':')\n",
    "\n",
    "plt.plot(X_fit, y_quad_fit, \n",
    "         label='quadratic (d=2), $R^2=%.2f$' % quadratic_r2,\n",
    "         color='red', \n",
    "         lw=2,\n",
    "         linestyle='-')\n",
    "\n",
    "plt.plot(X_fit, y_cubic_fit, \n",
    "         label='cubic (d=3), $R^2=%.2f$' % cubic_r2,\n",
    "         color='green', \n",
    "         lw=2, \n",
    "         linestyle='--')\n",
    "\n",
    "plt.xlabel('% lower status of the population [LSTAT]')\n",
    "plt.ylabel('Price in $1000\\'s [MEDV]')\n",
    "plt.legend(loc='upper right')\n",
    "\n",
    "plt.tight_layout()\n",
    "# plt.savefig('./figures/polyhouse_example.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Transforming the dataset:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAa4AAAEYCAYAAAAEZhLyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117c04710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = df[['LSTAT']].values\n",
    "y = df['MEDV'].values\n",
    "\n",
    "# transform features\n",
    "X_log = np.log(X)\n",
    "y_sqrt = np.sqrt(y)\n",
    "\n",
    "# fit features\n",
    "X_fit = np.arange(X_log.min()-1, X_log.max()+1, 1)[:, np.newaxis]\n",
    "\n",
    "regr = regr.fit(X_log, y_sqrt)\n",
    "y_lin_fit = regr.predict(X_fit)\n",
    "linear_r2 = r2_score(y_sqrt, regr.predict(X_log))\n",
    "\n",
    "# plot results\n",
    "plt.scatter(X_log, y_sqrt, label='training points', color='lightgray')\n",
    "\n",
    "plt.plot(X_fit, y_lin_fit, \n",
    "         label='linear (d=1), $R^2=%.2f$' % linear_r2, \n",
    "         color='blue', \n",
    "         lw=2)\n",
    "\n",
    "plt.xlabel('log(% lower status of the population [LSTAT])')\n",
    "plt.ylabel('$\\sqrt{Price \\; in \\; \\$1000\\'s [MEDV]}$')\n",
    "plt.legend(loc='lower left')\n",
    "\n",
    "plt.tight_layout()\n",
    "# plt.savefig('./figures/transform_example.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Dealing with nonlinear relationships using random forests"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "..."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Decision tree regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAENCAYAAAAG6bK5AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSjiAIAiCKuV/FG3tQltyrPcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117cc1fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.tree import DecisionTreeRegressor\n",
    "\n",
    "X = df[['LSTAT']].values\n",
    "y = df['MEDV'].values\n",
    "\n",
    "tree = DecisionTreeRegressor(max_depth=3)\n",
    "tree.fit(X, y)\n",
    "\n",
    "sort_idx = X.flatten().argsort()\n",
    "\n",
    "lin_regplot(X[sort_idx], y[sort_idx], tree)\n",
    "plt.xlabel('% lower status of the population [LSTAT]')\n",
    "plt.ylabel('Price in $1000\\'s [MEDV]')\n",
    "# plt.savefig('./figures/tree_regression.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Random forest regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "X = df.iloc[:, :-1].values\n",
    "y = df['MEDV'].values\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(\n",
    "    X, y, test_size=0.4, random_state=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MSE train: 1.642, test: 11.052\n",
      "R^2 train: 0.979, test: 0.878\n"
     ]
    }
   ],
   "source": [
    "from sklearn.ensemble import RandomForestRegressor\n",
    "\n",
    "forest = RandomForestRegressor(n_estimators=1000, \n",
    "                               criterion='mse', \n",
    "                               random_state=1, \n",
    "                               n_jobs=-1)\n",
    "forest.fit(X_train, y_train)\n",
    "y_train_pred = forest.predict(X_train)\n",
    "y_test_pred = forest.predict(X_test)\n",
    "\n",
    "print('MSE train: %.3f, test: %.3f' % (\n",
    "        mean_squared_error(y_train, y_train_pred),\n",
    "        mean_squared_error(y_test, y_test_pred)))\n",
    "print('R^2 train: %.3f, test: %.3f' % (\n",
    "        r2_score(y_train, y_train_pred),\n",
    "        r2_score(y_test, y_test_pred)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAEYCAYAAAAJeGK1AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkgKUiIjEkgKUiIjE0v8DlkGBgCg5Ax0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1187becc0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(y_train_pred,  \n",
    "            y_train_pred - y_train, \n",
    "            c='black', \n",
    "            marker='o', \n",
    "            s=35,\n",
    "            alpha=0.5,\n",
    "            label='Training data')\n",
    "plt.scatter(y_test_pred,  \n",
    "            y_test_pred - y_test, \n",
    "            c='lightgreen', \n",
    "            marker='s', \n",
    "            s=35,\n",
    "            alpha=0.7,\n",
    "            label='Test data')\n",
    "\n",
    "plt.xlabel('Predicted values')\n",
    "plt.ylabel('Residuals')\n",
    "plt.legend(loc='upper left')\n",
    "plt.hlines(y=0, xmin=-10, xmax=50, lw=2, color='red')\n",
    "plt.xlim([-10, 50])\n",
    "plt.tight_layout()\n",
    "\n",
    "# plt.savefig('./figures/slr_residuals.png', dpi=300)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<br>\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Summary"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "..."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
